Trigonometry Examples

$15 x^{3} \cdot (70 x^{2}) - 25 x$

Step 1

Rewrite using the commutative property of multiplication.

$15 \cdot 70 x^{3} x^{2} - 25 x$

Step 2

Multiply $x^{3}$ by $x^{2}$ by adding the exponents.

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Step 2.1

Move $x^{2}$ .

$15 \cdot 70 (x^{2} x^{3}) - 25 x$

Step 2.2

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$15 \cdot 70 x^{2 + 3} - 25 x$

Step 2.3

Add $2$ and $3$ .

$15 \cdot 70 x^{5} - 25 x$

Step 3

Multiply $15$ by $70$ .

$1050 x^{5} - 25 x$

Step 4

Factor $25 x$ out of $1050 x^{5} - 25 x$ .

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Step 4.1

Factor $25 x$ out of $1050 x^{5}$ .

$25 x (42 x^{4}) - 25 x$

Step 4.2

Factor $25 x$ out of $- 25 x$ .

$25 x (42 x^{4}) + 25 x (- 1)$

Step 4.3

Factor $25 x$ out of $25 x (42 x^{4}) + 25 x (- 1)$ .

$25 x (42 x^{4} - 1)$