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Popular >

expand 8((w+3)/2)^3

Solution

expand

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

Solution

w^{3} + 9 w^{2} + 27 w + 27

Solution steps

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

(\frac{w + 3}{2})^{3} = \frac{w ^{3} + 9 w ^{2} + 27 w + 27}{2 ^{3}}

= 8 \cdot \frac{w ^{3} + 9 w ^{2} + 27 w + 27}{2 ^{3}}

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{( w ^{3} + 9 w ^{2} + 27 w + 27 ) \cdot 8}{2 ^{3}}

Factor

8 : 2^{3}

= \frac{2 ^{3} ( w ^{3} + 9 w ^{2} + 27 w + 27 )}{2 ^{3}}

Cancel the common factor:

2^{3}

= w^{3} + 9 w^{2} + 27 w + 27

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Frequently Asked Questions (FAQ)

What is expand 8((w+3)/2)^3 ?
The solution to expand 8((w+3)/2)^3 is w^3+9w^2+27w+27