What is (10x+10)-(7x^2+5x-8) ?

The solution to (10x+10)-(7x^2+5x-8) is -7x^2+5x+18

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simplify (10x+10)-(7x^2+5x-8)

simplify

(10 x + 10) - (7 x^{2} + 5 x - 8)

- 7 x^{2} + 5 x + 18

Solution steps

(10 x + 10) - (7 x^{2} + 5 x - 8)

Apply rule:

(a) = a

(10 x + 10) = 10 x + 10

= 10 x + 10 - (7 x^{2} + 5 x - 8)

Apply the distributive law:

- (a + b) = - a - b

- (7 x^{2} + 5 x - 8) = - 7 x^{2} - 5 x + 8

= 10 x + 10 - 7 x^{2} - 5 x + 8

Group like terms

= - 7 x^{2} + 10 x - 5 x + 10 + 8

Add similar elements:

10 x - 5 x = 5 x

= - 7 x^{2} + 5 x + 10 + 8

Add the numbers:

10 + 8 = 18

= - 7 x^{2} + 5 x + 18

35 - (- 8)

(2 x^{2} - 3 x + 1) + (7 x^{2} + 10 x + 8)

- 4 \frac{3}{8} - (- 1 \frac{1}{4})

3 (2 y - 7)

2 (a + b)^{2} + 5 (a + b) - 3

What is (10x+10)-(7x^2+5x-8) ?
The solution to (10x+10)-(7x^2+5x-8) is -7x^2+5x+18