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Popular >

expand (4(x+y)^2)/3

Solution

expand

\frac{4 ( x + y ) ^{2}}{3}

Solution

\frac{4 x ^{2}}{3} + \frac{8 x y}{3} + \frac{4 y ^{2}}{3}

Solution steps

\frac{4 ( x + y ) ^{2}}{3}

(x + y)^{2} = x^{2} + 2 x y + y^{2}

= \frac{4 ( x ^{2} + 2 x y + y ^{2} )}{3}

Expand

4 (x^{2} + 2 x y + y^{2}) : 4 x^{2} + 8 x y + 4 y^{2}

= \frac{4 x ^{2} + 8 x y + 4 y ^{2}}{3}

Apply the fraction rule:

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

\frac{4 x ^{2} + 8 x y + 4 y ^{2}}{3} = \frac{4 x ^{2}}{3} + \frac{8 x y}{3} + \frac{4 y ^{2}}{3}

= \frac{4 x ^{2}}{3} + \frac{8 x y}{3} + \frac{4 y ^{2}}{3}

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Frequently Asked Questions (FAQ)

What is expand (4(x+y)^2)/3 ?
The solution to expand (4(x+y)^2)/3 is (4x^2)/3+(8xy)/3+(4y^2)/3