What is (a^2+2a)^2-2(a^2+2a)-3 ?

The solution to (a^2+2a)^2-2(a^2+2a)-3 is a^4+4a^3+2a^2-4a-3

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simplify (a^2+2a)^2-2(a^2+2a)-3

simplify

(a^{2} + 2 a)^{2} - 2 (a^{2} + 2 a) - 3

a^{4} + 4 a^{3} + 2 a^{2} - 4 a - 3

Solution steps

(a^{2} + 2 a)^{2} - 2 (a^{2} + 2 a) - 3

Expand

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

= a^{4} + 4 a^{3} + 4 a^{2} - 2 (a^{2} + 2 a) - 3

Expand

- 2 (a^{2} + 2 a) : - 2 a^{2} - 4 a

= a^{4} + 4 a^{3} + 4 a^{2} - 2 a^{2} - 4 a - 3

Add similar elements:

4 a^{2} - 2 a^{2} = 2 a^{2}

= a^{4} + 4 a^{3} + 2 a^{2} - 4 a - 3

\frac{1 0 ^{n + 3} - 1 0 ^{n + 2}}{1 0 ^{n + 2}}

2 (1 + cos (2 θ)) \cdot sin (θ)

(x^{\frac{1}{2}})^{\frac{1}{2}}

- 1 x - 1 x

(x + 2) (x + 3) (x + 1)

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