What is (-4x^2+7x-8)-(10x^2+3x+9) ?

The solution to (-4x^2+7x-8)-(10x^2+3x+9) is -14x^2+4x-17

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simplify (-4x^2+7x-8)-(10x^2+3x+9)

simplify

(- 4 x^{2} + 7 x - 8) - (10 x^{2} + 3 x + 9)

- 14 x^{2} + 4 x - 17

Solution steps

(- 4 x^{2} + 7 x - 8) - (10 x^{2} + 3 x + 9)

Apply rule:

(a) = a

(- 4 x^{2} + 7 x - 8) = - 4 x^{2} + 7 x - 8

= - 4 x^{2} + 7 x - 8 - (10 x^{2} + 3 x + 9)

Apply the distributive law:

- (a + b) = - a - b

- (10 x^{2} + 3 x + 9) = - 10 x^{2} - 3 x - 9

= - 4 x^{2} + 7 x - 8 - 10 x^{2} - 3 x - 9

Group like terms

= - 4 x^{2} - 10 x^{2} + 7 x - 3 x - 8 - 9

Add similar elements:

- 4 x^{2} - 10 x^{2} = - 14 x^{2}

= - 14 x^{2} + 7 x - 3 x - 8 - 9

Add similar elements:

7 x - 3 x = 4 x

= - 14 x^{2} + 4 x - 8 - 9

Subtract the numbers:

- 8 - 9 = - 17

= - 14 x^{2} + 4 x - 17

(- 4 + i) (6 - 5 i)

44 x + 20 x^{2} - 15

- 64 \div 8

\frac{1}{9} + \frac{1}{4}

2^{- 9} \cdot 4^{3}

What is (-4x^2+7x-8)-(10x^2+3x+9) ?
The solution to (-4x^2+7x-8)-(10x^2+3x+9) is -14x^2+4x-17