Algebra Examples

$(28 d^{3} k^{2} + d^{2} k^{2} - 4 d k^{2}) {(4 d k^{2})}^{- 1}$

Step 1

Rewrite the expression using the negative exponent rule $b^{- n} = \frac{1}{b^{n}}$ .

$(28 d^{3} k^{2} + d^{2} k^{2} - 4 d k^{2}) \frac{1}{4 d k^{2}}$

Step 2

Multiply $28 d^{3} k^{2} + d^{2} k^{2} - 4 d k^{2}$ by $\frac{1}{4 d k^{2}}$ .

$\frac{28 d^{3} k^{2} + d^{2} k^{2} - 4 d k^{2}}{4 d k^{2}}$

Step 3

Factor $d k^{2}$ out of $28 d^{3} k^{2} + d^{2} k^{2} - 4 d k^{2}$ .

Tap for more steps...

Step 3.1

Factor $d k^{2}$ out of $28 d^{3} k^{2}$ .

$\frac{d k^{2} (28 d^{2}) + d^{2} k^{2} - 4 d k^{2}}{4 d k^{2}}$

Step 3.2

Factor $d k^{2}$ out of $d^{2} k^{2}$ .

$\frac{d k^{2} (28 d^{2}) + d k^{2} (d) - 4 d k^{2}}{4 d k^{2}}$

Step 3.3

Factor $d k^{2}$ out of $- 4 d k^{2}$ .

$\frac{d k^{2} (28 d^{2}) + d k^{2} (d) + d k^{2} (- 4)}{4 d k^{2}}$

Step 3.4

Factor $d k^{2}$ out of $d k^{2} (28 d^{2}) + d k^{2} (d)$ .

$\frac{d k^{2} (28 d^{2} + d) + d k^{2} (- 4)}{4 d k^{2}}$

Step 3.5

Factor $d k^{2}$ out of $d k^{2} (28 d^{2} + d) + d k^{2} (- 4)$ .

$\frac{d k^{2} (28 d^{2} + d - 4)}{4 d k^{2}}$

Step 4

Cancel the common factor of $d$ .

Tap for more steps...

Step 4.1

Cancel the common factor.

$\frac{d k^{2} (28 d^{2} + d - 4)}{4 d k^{2}}$

Step 4.2

Rewrite the expression.

$\frac{k^{2} (28 d^{2} + d - 4)}{4 k^{2}}$

Step 5

Cancel the common factor of $k^{2}$ .

Tap for more steps...

Step 5.1

Cancel the common factor.

$\frac{k^{2} (28 d^{2} + d - 4)}{4 k^{2}}$

Step 5.2

Rewrite the expression.

$\frac{28 d^{2} + d - 4}{4}$