What is (x^2-6x)-(5x^2-7x-10) ?

The solution to (x^2-6x)-(5x^2-7x-10) is -4x^2+x+10

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simplify (x^2-6x)-(5x^2-7x-10)

simplify

(x^{2} - 6 x) - (5 x^{2} - 7 x - 10)

- 4 x^{2} + x + 10

Solution steps

(x^{2} - 6 x) - (5 x^{2} - 7 x - 10)

Apply rule:

(a) = a

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

= x^{2} - 6 x - (5 x^{2} - 7 x - 10)

Apply the distributive law:

- (a - b) = - a + b

- (5 x^{2} - 7 x - 10) = - 5 x^{2} + 7 x + 10

= x^{2} - 6 x - 5 x^{2} + 7 x + 10

Group like terms

= x^{2} - 5 x^{2} - 6 x + 7 x + 10

Add similar elements:

x^{2} - 5 x^{2} = - 4 x^{2}

= - 4 x^{2} - 6 x + 7 x + 10

Add similar elements:

- 6 x + 7 x = x

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

2^{3} (3^{- 2})

- 128

(- 3) (- 3) (- 3)

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

x (x + 5) + 3 (x + 5)

What is (x^2-6x)-(5x^2-7x-10) ?
The solution to (x^2-6x)-(5x^2-7x-10) is -4x^2+x+10