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

The solution to (-x^2+x-4)-(3x^2-8x-2) is -4x^2+9x-2

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simplify (-x^2+x-4)-(3x^2-8x-2)

simplify

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

- 4 x^{2} + 9 x - 2

Solution steps

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

Apply rule:

(a) = a

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

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

Apply the distributive law:

- (a - b) = - a + b

- (3 x^{2} - 8 x - 2) = - 3 x^{2} + 8 x + 2

= - x^{2} + x - 4 - 3 x^{2} + 8 x + 2

Group like terms

= - x^{2} - 3 x^{2} + x + 8 x - 4 + 2

Add similar elements:

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

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

Add similar elements:

x + 8 x = 9 x

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

Add the numbers:

- 4 + 2 = - 2

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

52 + 32

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

7 \cdot (- 7)

(t + 4)^{2}

- 10 m - (- 7.6 n + 1)

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