What is ((24w^{10}+8w^{12}))/((4w^4)) ?

The solution to ((24w^{10}+8w^{12}))/((4w^4)) is 2w^6(3+w^2)

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simplify ((24w^{10}+8w^{12}))/((4w^4))

simplify

\frac{( 24 w ^{10} + 8 w ^{12} )}{( 4 w ^{4} )}

2 w^{6} (3 + w^{2})

Solution steps

\frac{24 w ^{10} + 8 w ^{12}}{4 w ^{4}}

Factor

24 w^{10} + 8 w^{12} : 8 w^{10} (3 + w^{2})

= \frac{8 w ^{10} ( 3 + w ^{2} )}{4 w ^{4}}

Factor the number:

8 = 4 \cdot 2

= \frac{4 \cdot 2 w ^{10} ( 3 + w ^{2} )}{4 w ^{4}}

Cancel the common factor:

4

= \frac{2 w ^{10} ( 3 + w ^{2} )}{w ^{4}}

Apply exponent rule:

a^{b + c} = a^{b} \cdot a^{c}

w^{10} = w^{4} w^{6}

= \frac{2 w ^{4} w ^{6} ( 3 + w ^{2} )}{w ^{4}}

Cancel the common factor:

w^{4}

= 2 w^{6} (3 + w^{2})

(- 2 a b^{2})^{4} (- 2 a^{3})^{5}

(81) (121)

0.1 1^{2}

3 x^{5} (2 x^{2} + 4 x + 1)

\frac{3}{5} \div \frac{3}{10}

What is ((24w^{10}+8w^{12}))/((4w^4)) ?
The solution to ((24w^{10}+8w^{12}))/((4w^4)) is 2w^6(3+w^2)