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Popular >

expand (ax+by)^2

Solution

expand

(a x + b y)^{2}

Solution

a^{2} x^{2} + 2 ab x y + b^{2} y^{2}

Solution steps

(a x + b y)^{2}

Apply Perfect Square Formula:

(a + b)^{2} = a^{2} + 2 ab + b^{2}

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

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

Simplify

(a x)^{2} + 2 a x b y + (b y)^{2} : a^{2} x^{2} + 2 ab x y + b^{2} y^{2}

= a^{2} x^{2} + 2 ab x y + b^{2} y^{2}

Popular Examples

simplify a^{-3}b^{-5}simplify

a^{- 3} b^{- 5}

expand (5m+2n)^2 expand

(5 m + 2 n)^{2}

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- (- 8 r - 9.8 s) + 8.1

simplify (x^2+x)^2+x^2+x simplify

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

simplify (2y)/2 simplify

\frac{2 y}{2}

Frequently Asked Questions (FAQ)

What is expand (ax+by)^2 ?
The solution to expand (ax+by)^2 is a^2x^2+2abxy+b^2y^2