What is (x^2+x)^2+4(x^2+x)-21 ?

The solution to (x^2+x)^2+4(x^2+x)-21 is x^4+2x^3+5x^2+4x-21

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simplify (x^2+x)^2+4(x^2+x)-21

simplify

(x^{2} + x)^{2} + 4 (x^{2} + x) - 21

x^{4} + 2 x^{3} + 5 x^{2} + 4 x - 21

Solution steps

(x^{2} + x)^{2} + 4 (x^{2} + x) - 21

Expand

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

= x^{4} + 2 x^{3} + x^{2} + 4 (x^{2} + x) - 21

Expand

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

= x^{4} + 2 x^{3} + x^{2} + 4 x^{2} + 4 x - 21

Add similar elements:

x^{2} + 4 x^{2} = 5 x^{2}

= x^{4} + 2 x^{3} + 5 x^{2} + 4 x - 21

(4 x^{3} y^{2})^{4}

l \frac{sin ^{2} ( t )}{t}

(5 x^{7} y^{2})^{- 2}

4 - 4 x^{7} + 3

a^{2} b^{2} - x^{2}

What is (x^2+x)^2+4(x^2+x)-21 ?
The solution to (x^2+x)^2+4(x^2+x)-21 is x^4+2x^3+5x^2+4x-21