What is (-5x^2+10x-1)-(6x^2-x+3) ?

The solution to (-5x^2+10x-1)-(6x^2-x+3) is -11x^2+11x-4

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simplify (-5x^2+10x-1)-(6x^2-x+3)

simplify

(- 5 x^{2} + 10 x - 1) - (6 x^{2} - x + 3)

- 11 x^{2} + 11 x - 4

Solution steps

(- 5 x^{2} + 10 x - 1) - (6 x^{2} - x + 3)

Apply rule:

(a) = a

(- 5 x^{2} + 10 x - 1) = - 5 x^{2} + 10 x - 1

= - 5 x^{2} + 10 x - 1 - (6 x^{2} - x + 3)

Apply the distributive law:

- (a - b) = - a + b

- (6 x^{2} - x + 3) = - 6 x^{2} + x - 3

= - 5 x^{2} + 10 x - 1 - 6 x^{2} + x - 3

Group like terms

= - 5 x^{2} - 6 x^{2} + 10 x + x - 1 - 3

Add similar elements:

- 5 x^{2} - 6 x^{2} = - 11 x^{2}

= - 11 x^{2} + 10 x + x - 1 - 3

Add similar elements:

10 x + x = 11 x

= - 11 x^{2} + 11 x - 1 - 3

Subtract the numbers:

- 1 - 3 = - 4

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

x^{2} y^{4} (- 4 x^{4} y^{2})

(x - 1)^{2} - 16 y^{2}

4 + (- 12)

- 1 \cdot (- i)

6 (\frac{x}{6})

What is (-5x^2+10x-1)-(6x^2-x+3) ?
The solution to (-5x^2+10x-1)-(6x^2-x+3) is -11x^2+11x-4