Mathway | المسائل الشائعة

المسائل الشائعة

التصنيف	الموضوع	المسألة	مسألة منسّقة
60601	بسّط	(d-3)^6	${(d - 3)}^{6}$
60602	بسّط	(g+7)^2	${(g + 7)}^{2}$
60603	بسّط	(h-k)^2-k^2	${(h - k)}^{2} - k^{2}$
60604	بسّط	(i+1)^2(i-1)	${(i + 1)}^{2} (i - 1)$
60605	بسّط	(j-2k)^-2	${(j - 2 k)}^{- 2}$
60606	بسّط	(k+7)^2	${(k + 7)}^{2}$
60607	بسّط	(k-1)^2	${(k - 1)}^{2}$
60608	بسّط	(k-2)/(k^2-2k-12)-3k	$\frac{k - 2}{k^{2} - 2 k - 12} - 3 k$
60609	بسّط	(-l)^2	${(- l)}^{2}$
60610	بسّط	(m)^(-1/5)	${(m)}^{- \frac{1}{5}}$
60611	بسّط	((m*1)/4)^20	${(\frac{m \cdot 1}{4})}^{20}$
60612	بسّط	(m+2n)^14	${(m + 2 n)}^{14}$
60613	بسّط	-(m+3)^2	$- {(m + 3)}^{2}$
60614	بسّط	(m+n)^3	${(m + n)}^{3}$
60615	بسّط	(m-3)^2	${(m - 3)}^{2}$
60616	بسّط	(m-3n^2)^2	${(m - 3 n^{2})}^{2}$
60617	بسّط	(m-n+1)^2	${(m - n + 1)}^{2}$
60618	بسّط	(m-t)^2-w^2	${(m - t)}^{2} - w^{2}$
60619	بسّط	(n-1/n)/(1+1/n)	$\frac{n - \frac{1}{n}}{1 + \frac{1}{n}}$
60620	بسّط	(n+2)/3+n/(3n-6)	$\frac{n + 2}{3} + \frac{n}{3 n - 6}$
60621	بسّط	(n-2)*180	$(n - 2) \cdot 180$
60622	بسّط	(n-4)^4	${(n - 4)}^{4}$
60623	بسّط	(np)^-4	${(n p)}^{- 4}$
60624	بسّط	(ob(1-n)^(b-1)e^gh^d)/(1/2*(o(1-n)^be^gh^d))	$\frac{o b {(1 - n)}^{b - 1} e^{g} h^{d}}{\frac{1}{2} \cdot (o {(1 - n)}^{b} e^{g} h^{d})}$
60625	بسّط	(p2945^2)/12((p45^2)/8)	$\frac{p \cdot 29 \cdot 45^{2}}{12} \cdot (\frac{p \cdot 45^{2}}{8})$
60626	بسّط	(p+3)^3	${(p + 3)}^{3}$
60627	بسّط	(p+8)^2	${(p + 8)}^{2}$
60628	بسّط	(p+q)^2-p-q	${(p + q)}^{2} - p - q$
60629	بسّط	((p-2)(p-5))/(p+5)*1/(p+2)	$\frac{(p - 2) (p - 5)}{p + 5} \cdot \frac{1}{p + 2}$
60630	بسّط	(q+8)^2	${(q + 8)}^{2}$
60631	بسّط	((r+2)(r+3))/((r+4)(r-2))*((r+4)(r+7))/((r+2)(r+3))	$\frac{(r + 2) (r + 3)}{(r + 4) (r - 2)} \cdot \frac{(r + 4) (r + 7)}{(r + 2) (r + 3)}$
60632	بسّط	((-r-6)+8)/(r^2-36)	$\frac{(- r - 6) + 8}{r^{2} - 36}$
60633	بسّط	(rf(1+rf)/(1+kf)+rf(kel))/(1-(1+kf*(rf)))	$\frac{r f \cdot \frac{1 + r f}{1 + k f} + r f \cdot (k e l)}{1 - (1 + k f \cdot (r f))}$
60634	بسّط	(r-h)^2	${(r - h)}^{2}$
60635	بسّط	(r-h)^3	${(r - h)}^{3}$
60636	بسّط	الجذر التكعيبي لـ 125xy^2+ الجذر التكعيبي لـ 27x^4y^5	$\sqrt[3]{125 x y^{2}} + \sqrt[3]{27 x^{4} y^{5}}$
60637	بسّط	(sa^2)^3	${(s a^{2})}^{3}$
60638	بسّط	(s+1)^2	${(s + 1)}^{2}$
60639	بسّط	(s-1)^2+1	${(s - 1)}^{2} + 1$
60640	بسّط	(s-2)^2	${(s - 2)}^{2}$
60641	بسّط	(s-7)^7	${(s - 7)}^{7}$
60642	بسّط	(sin(30)cos(60))/(tan(60))+(cos(30)sin(60))/(cot(30))	$\frac{\sin (30) \cdot \cos (60)}{\tan (60)} + \frac{\cos (30) \cdot \sin (60)}{\cot (30)}$
60643	بسّط	((sin(v))*(cos(v)))/((cos(v)^2)-(sin(v)^2))	$\frac{(\sin (v)) \cdot (\cos (v))}{(\cos^{2} (v)) - (\sin^{2} (v))}$
60644	بسّط	(sin(y)+cos(y))^2-1	${(\sin (y) + \cos (y))}^{2} - 1$
60645	بسّط	(s-v)^2	${(s - v)}^{2}$
60646	بسّط	((t+1)(t+2))/((t+3)(t-1))*((t+3)(t+6))/((t+1)(t+2))	$\frac{(t + 1) (t + 2)}{(t + 3) (t - 1)} \cdot \frac{(t + 3) (t + 6)}{(t + 1) (t + 2)}$
60647	بسّط	(-t-2y)^2	${(- t - 2 y)}^{2}$
60648	بسّط	(t-35)^2-(t-10)^2	${(t - 35)}^{2} - {(t - 10)}^{2}$
60649	بسّط	(t-4)^2	${(t - 4)}^{2}$
60650	بسّط	(t-40)^2	${(t - 40)}^{2}$
60651	بسّط	(y-3/4)^2	${(y - \frac{3}{4})}^{2}$
60652	بسّط	(y-4/9)^2	${(y - \frac{4}{9})}^{2}$
60653	بسّط	(y+11)^2	${(y + 11)}^{2}$
60654	بسّط	((y+2)/(5y^2))÷((y^2-4y-5)/(25y^2-5y^3))	$\frac{y + 2}{5 y^{2}} \div \frac{y^{2} - 4 y - 5}{25 y^{2} - 5 y^{3}}$
60655	بسّط	(y+2)^2-5(y+2)+6	${(y + 2)}^{2} - 5 (y + 2) + 6$
60656	بسّط	-(y+2)^2-y(2y+3)	$- {(y + 2)}^{2} - y (2 y + 3)$
60657	بسّط	(y+2)^4*(1-y)^3	${(y + 2)}^{4} \cdot {(1 - y)}^{3}$
60658	بسّط	(y+2)^4(y+2)^5	${(y + 2)}^{4} {(y + 2)}^{5}$
60659	بسّط	(y+2)^5(y+2)^3	${(y + 2)}^{5} {(y + 2)}^{3}$
60660	بسّط	(y+2z)^3	${(y + 2 z)}^{3}$
60661	بسّط	(y+3)^3-(y-3)^2	${(y + 3)}^{3} - {(y - 3)}^{2}$
60662	بسّط	(w-3h)^2	${(w - 3 h)}^{2}$
60663	بسّط	y/(y+1)+1/(y^2+3y+2)	$\frac{y}{y + 1} + \frac{1}{y^{2} + 3 y + 2}$
60664	بسّط	(-y)^-16	${(- y)}^{- 16}$
60665	بسّط	(y)^2	${(y)}^{2}$
60666	بسّط	(-y)^-3	${(- y)}^{- 3}$
60667	بسّط	(-y)^4+6(-y)^2+5	${(- y)}^{4} + 6 {(- y)}^{2} + 5$
60668	بسّط	(u-7)^2	${(u - 7)}^{2}$
60669	بسّط	(u-v)^3	${(u - v)}^{3}$
60670	بسّط	(( الجذر التربيعي لـ 2)/9)^3	${(\frac{\sqrt{2}}{9})}^{3}$
60671	بسّط	(v+2z)^2	${(v + 2 z)}^{2}$
60672	بسّط	(v-2)^3	${(v - 2)}^{3}$
60673	بسّط	(v-3)^2	${(v - 3)}^{2}$
60674	بسّط	((w+2)(w+2))/8*72/((w+2)(w-2))	$\frac{(w + 2) (w + 2)}{8} \cdot \frac{72}{(w + 2) (w - 2)}$
60675	بسّط	(w+2)^2-(w+7)^2	${(w + 2)}^{2} - {(w + 7)}^{2}$
60676	بسّط	(-a-7b+2)^7ab	${(- a - 7 b + 2)}^{7} a b$
60677	بسّط	(a-8)^2	${(a - 8)}^{2}$
60678	بسّط	(a-b)/(ab)+(b-c)/(bc)	$\frac{a - b}{a b} + \frac{b - c}{b c}$
60679	بسّط	(2a-5)^2	${(2 a - 5)}^{2}$
60680	بسّط	(2ab)^3	${(2 a b)}^{3}$
60681	بسّط	الجذر التكعيبي لـ 125xy^2+ الجذر التكعيبي لـ 64x^4y^5	$\sqrt[3]{125 x y^{2}} + \sqrt[3]{64 x^{4} y^{5}}$
60682	بسّط	(a^2+2a-15)/(12u)*(au-2u)/(a^2+3a-10)	$\frac{a^{2} + 2 a - 15}{12 u} \cdot \frac{a u - 2 u}{a^{2} + 3 a - 10}$
60683	بسّط	(a^2+2ab+b^2)/(3a+3b)	$\frac{a^{2} + 2 a b + b^{2}}{3 a + 3 b}$
60684	بسّط	(a^2+3a)/(3a-9)*(a^2-a-6)/(2a^2+6a)	$\frac{a^{2} + 3 a}{3 a - 9} \cdot \frac{a^{2} - a - 6}{2 a^{2} + 6 a}$
60685	بسّط	(a^2+7)/(a^2-25)*(a^3-3a^2+7a-21)/(a^2+2a-15)	$\frac{a^{2} + 7}{a^{2} - 25} \cdot \frac{a^{3} - 3 a^{2} + 7 a - 21}{a^{2} + 2 a - 15}$
60686	بسّط	((a^2+7a+12)/(a^2-9))÷((a^2-7a+12)/(a^2-16))	$\frac{a^{2} + 7 a + 12}{a^{2} - 9} \div \frac{a^{2} - 7 a + 12}{a^{2} - 16}$
60687	بسّط	(a^2+ab)/(b^2)*(2b)/(a^2)	$\frac{a^{2} + a b}{b^{2}} \cdot \frac{2 b}{a^{2}}$
60688	بسّط	(a^2-16)/(a+4)	$\frac{a^{2} - 16}{a + 4}$
60689	بسّط	((a^2-2b^2)/(a-b)*(a-b)/4)÷((a+b)/(16b))	$\frac{a^{2} - 2 b^{2}}{a - b} \cdot \frac{a - b}{4} \div \frac{a + b}{16 b}$
60690	بسّط	(a^2-2ab+b^2)/(a^2-b^2)	$\frac{a^{2} - 2 a b + b^{2}}{a^{2} - b^{2}}$
60691	بسّط	(a^2-36)/(10a)*((2a)/(a+6))	$\frac{a^{2} - 36}{10 a} \cdot (\frac{2 a}{a + 6})$
60692	بسّط	(a^2-4a-21)/(a^(2-6)a+8)*(a-4)/(a^2-2a-35)	$\frac{a^{2} - 4 a - 21}{a^{2 - 6} a + 8} \cdot \frac{a - 4}{a^{2} - 2 a - 35}$
60693	بسّط	((a^2-64b^2)/(a+8b))÷(a+8b)*(5b)/(a-8b)	$\frac{a^{2} - 64 b^{2}}{a + 8 b} \div (a + 8 b) \cdot \frac{5 b}{a - 8 b}$
60694	بسّط	(a^2-64)/(4a-20)*(a^2+16a+64)/(a^2+3a-40)	$\frac{a^{2} - 64}{4 a - 20} \cdot \frac{a^{2} + 16 a + 64}{a^{2} + 3 a - 40}$
60695	بسّط	((a^2-6a)/-4)÷((a-6)/a)	$\frac{a^{2} - 6 a}{- 4} \div \frac{a - 6}{a}$
60696	بسّط	(a^2-6a+8)/(a^2-a-12)*(a^2-9)/(a^2-4)	$\frac{a^{2} - 6 a + 8}{a^{2} - a - 12} \cdot \frac{a^{2} - 9}{a^{2} - 4}$
60697	بسّط	((a^2-6a+9)/(a^2-a-12))÷((a^2-a-6)/(a^2+4a+4))	$\frac{a^{2} - 6 a + 9}{a^{2} - a - 12} \div \frac{a^{2} - a - 6}{a^{2} + 4 a + 4}$
60698	بسّط	((a^2-7a-18)/(4a^3))÷((a^2-4a-45)/(2a^3-4a^2))*(a^2+3a-10)/(a^2-4a+4)	$\frac{a^{2} - 7 a - 18}{4 a^{3}} \div \frac{a^{2} - 4 a - 45}{2 a^{3} - 4 a^{2}} \cdot \frac{a^{2} + 3 a - 10}{a^{2} - 4 a + 4}$
60699	بسّط	((a^2-8a)/-6)÷((a-8)/a)	$\frac{a^{2} - 8 a}{- 6} \div \frac{a - 8}{a}$
60700	بسّط	(a^2-a-6)/(a^2+3a+2)	$\frac{a^{2} - a - 6}{a^{2} + 3 a + 2}$