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Popular >

expand [x(x+1)]^2

Solution

expand

[x (x + 1)]^{2}

Solution

x^{4} + 2 x^{3} + x^{2}

Solution steps

(x (x + 1))^{2}

Expand

x (x + 1) : x^{2} + x

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

Apply Perfect Square Formula:

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

a = x^{2}, b = x

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

Simplify

(x^{2})^{2} + 2 x^{2} x + x^{2} : x^{4} + 2 x^{3} + x^{2}

= x^{4} + 2 x^{3} + x^{2}

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Frequently Asked Questions (FAQ)

What is expand [x(x+1)]^2 ?
The solution to expand [x(x+1)]^2 is x^4+2x^3+x^2