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Popular >

expand 4((w+3)/2)^2

Solution

expand

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

Solution

w^{2} + 6 w + 9

Solution steps

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

(\frac{w + 3}{2})^{2} = \frac{w ^{2} + 6 w + 9}{2 ^{2}}

= 4 \cdot \frac{w ^{2} + 6 w + 9}{2 ^{2}}

Multiply fractions:

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

= \frac{( w ^{2} + 6 w + 9 ) \cdot 4}{2 ^{2}}

Factor

4 : 2^{2}

= \frac{2 ^{2} ( w ^{2} + 6 w + 9 )}{2 ^{2}}

Cancel the common factor:

2^{2}

= w^{2} + 6 w + 9

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Frequently Asked Questions (FAQ)

What is expand 4((w+3)/2)^2 ?
The solution to expand 4((w+3)/2)^2 is w^2+6w+9