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

The solution to (x^2+x)^2+(x^2+x) is x^4+2x^3+2x^2+x

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

simplify

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

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

Solution steps

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

Apply rule:

a + (b + c) = a + b + c

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

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

Expand

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

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

Add similar elements:

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

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

1 8^{2} + 2 4^{2}

1 + \frac{a}{b}

\frac{1}{1 + \frac{1}{4}}

3 x \cdot 2 x^{2}

(3 a^{2} b^{4} + 2 a^{3} c^{4})^{3}

What is (x^2+x)^2+(x^2+x) ?
The solution to (x^2+x)^2+(x^2+x) is x^4+2x^3+2x^2+x