What is (-3x^2+5x-2)-2(x^2-2x-1) ?

The solution to (-3x^2+5x-2)-2(x^2-2x-1) is -5x^2+9x

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simplify (-3x^2+5x-2)-2(x^2-2x-1)

simplify

(- 3 x^{2} + 5 x - 2) - 2 (x^{2} - 2 x - 1)

- 5 x^{2} + 9 x

Solution steps

(- 3 x^{2} + 5 x - 2) - 2 (x^{2} - 2 x - 1)

Apply rule:

(a) = a

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

= - 3 x^{2} + 5 x - 2 - 2 (x^{2} - 2 x - 1)

Expand

- 2 (x^{2} - 2 x - 1) : - 2 x^{2} + 4 x + 2

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

Group like terms

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

Add similar elements:

- 3 x^{2} - 2 x^{2} = - 5 x^{2}

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

Add similar elements:

5 x + 4 x = 9 x

= - 5 x^{2} + 9 x - 2 + 2

Add the numbers:

- 2 + 2 = 0

= - 5 x^{2} + 9 x

\frac{cos ^{2} ( θ )}{1 - sin ( θ )}

cos^{2} (θ) csc (θ) sec (θ)

\frac{( \frac{4}{n} - n )}{( \frac{1}{n} + \frac{1}{2} )}

(4 x - 3) (x + 5)

5 m p^{2} - m p

What is (-3x^2+5x-2)-2(x^2-2x-1) ?
The solution to (-3x^2+5x-2)-2(x^2-2x-1) is -5x^2+9x