What is (x^2+sqrt(x))^2 ?

The solution to (x^2+sqrt(x))^2 is x^4+2x^2sqrt(x)+x

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

simplify

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

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

Solution steps

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

Apply Perfect Square Formula:

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

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

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

(x^{2})^{2} = x^{4}

(x)^{2} = x

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

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