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Popular >

expand (3/(2+2x))^3

Solution

expand

(\frac{3}{2 + 2 x})^{3}

Solution

\frac{27}{8 + 24 x + 24 x ^{2} + 8 x ^{3}}

Solution steps

(\frac{3}{2 + 2 x})^{3}

Apply exponent rule:

(\frac{a}{b})^{c} = \frac{a ^{c}}{b ^{c}}

= \frac{3 ^{3}}{( 2 + 2 x ) ^{3}}

(2 + 2 x)^{3} = 8 + 24 x + 24 x^{2} + 8 x^{3}

= \frac{3 ^{3}}{8 + 24 x + 24 x ^{2} + 8 x ^{3}}

3^{3} = 27

= \frac{27}{8 + 24 x + 24 x ^{2} + 8 x ^{3}}

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Frequently Asked Questions (FAQ)

What is expand (3/(2+2x))^3 ?
The solution to expand (3/(2+2x))^3 is (27)/(8+24x+24x^2+8x^3)