What is simplify-2x(3+2x)-(5x+2)^2 ?

The solution to simplify-2x(3+2x)-(5x+2)^2 is -29x^2-26x-4

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simplify-2x(3+2x)-(5x+2)^2

simplify

- 2 x (3 + 2 x) - (5 x + 2)^{2}

- 29 x^{2} - 26 x - 4

Solution steps

- 2 x (3 + 2 x) - (5 x + 2)^{2}

Expand

- 2 x (3 + 2 x) : - 6 x - 4 x^{2}

= - 6 x - 4 x^{2} - (5 x + 2)^{2}

Expand

- (5 x + 2)^{2} : - 25 x^{2} - 20 x - 4

= - 6 x - 4 x^{2} - 25 x^{2} - 20 x - 4

Add similar elements:

- 4 x^{2} - 25 x^{2} = - 29 x^{2}

= - 6 x - 29 x^{2} - 20 x - 4

Group like terms

= - 29 x^{2} - 6 x - 20 x - 4

Add similar elements:

- 6 x - 20 x = - 26 x

= - 29 x^{2} - 26 x - 4

(x + 1) (x - 10)

(10 x)^{- 1}

- 6 + 8 i

\frac{10 x ^{8} y ^{4}}{- 6 x ^{4} y ^{5}}

What is simplify-2x(3+2x)-(5x+2)^2 ?
The solution to simplify-2x(3+2x)-(5x+2)^2 is -29x^2-26x-4