What is (-2x^2+4x-10)-(9x^2-10x+1) ?

The solution to (-2x^2+4x-10)-(9x^2-10x+1) is -11x^2+14x-11

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simplify (-2x^2+4x-10)-(9x^2-10x+1)

simplify

(- 2 x^{2} + 4 x - 10) - (9 x^{2} - 10 x + 1)

- 11 x^{2} + 14 x - 11

Solution steps

(- 2 x^{2} + 4 x - 10) - (9 x^{2} - 10 x + 1)

Apply rule:

(a) = a

(- 2 x^{2} + 4 x - 10) = - 2 x^{2} + 4 x - 10

= - 2 x^{2} + 4 x - 10 - (9 x^{2} - 10 x + 1)

Apply the distributive law:

- (a - b) = - a + b

- (9 x^{2} - 10 x + 1) = - 9 x^{2} + 10 x - 1

= - 2 x^{2} + 4 x - 10 - 9 x^{2} + 10 x - 1

Group like terms

= - 2 x^{2} - 9 x^{2} + 4 x + 10 x - 10 - 1

Add similar elements:

- 2 x^{2} - 9 x^{2} = - 11 x^{2}

= - 11 x^{2} + 4 x + 10 x - 10 - 1

Add similar elements:

4 x + 10 x = 14 x

= - 11 x^{2} + 14 x - 10 - 1

Subtract the numbers:

- 10 - 1 = - 11

= - 11 x^{2} + 14 x - 11

4 x^{2} - 5 x - 9

(x + 4 y)^{2}

ln ((3 x)^{2 x}) + (9 x^{2} + 2)^{3}

- - 99

\frac{( x ^{4} - y ^{4} )}{( x - y )}

What is (-2x^2+4x-10)-(9x^2-10x+1) ?
The solution to (-2x^2+4x-10)-(9x^2-10x+1) is -11x^2+14x-11