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Popular >

expand a(x+b)^2+c

Solution

expand

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

Solution

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

Solution steps

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

Expand

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

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

Apply the distributive law:

m (a + b + c) = ma + mb + m c

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

= a x^{2} + a \cdot 2 b x + a b^{2} + c

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

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Frequently Asked Questions (FAQ)

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