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Popular >

expand (ax+b)^2

Solution

expand

(a x + b)^{2}

Solution

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

Solution steps

(a x + b)^{2}

Apply Perfect Square Formula:

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

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

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

Simplify

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

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

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Frequently Asked Questions (FAQ)

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