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

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

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

simplify

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

- 3 x^{2} + x + 6

Solution steps

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

Apply rule:

(a) = a

(- 5 x + 5) = - 5 x + 5

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

Apply the distributive law:

- (a - b) = - a + b

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

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

Group like terms

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

Add similar elements:

- 5 x + 6 x = x

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

Add the numbers:

5 + 1 = 6

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

4 (x + 3)

(- 3 x y^{2})^{3} \cdot (- \frac{2}{3} x^{2} y^{3})^{4}

(1 - lo g_{7} (\frac{1}{7})) (1 + lo g_{7} (\frac{1}{7}))

\frac{2}{\frac{2}{x}}

(9 x^{2} + 7 x - 6) - (3 x^{2} - 8 x + 7)