What is (10x^2+9x-8)-(9x^2-4) ?

The solution to (10x^2+9x-8)-(9x^2-4) is x^2+9x-4

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simplify (10x^2+9x-8)-(9x^2-4)

simplify

(10 x^{2} + 9 x - 8) - (9 x^{2} - 4)

x^{2} + 9 x - 4

Solution steps

(10 x^{2} + 9 x - 8) - (9 x^{2} - 4)

Apply rule:

(a) = a

(10 x^{2} + 9 x - 8) = 10 x^{2} + 9 x - 8

= 10 x^{2} + 9 x - 8 - (9 x^{2} - 4)

Apply the distributive law:

- (a - b) = - a + b

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

= 10 x^{2} + 9 x - 8 - 9 x^{2} + 4

Group like terms

= 10 x^{2} - 9 x^{2} + 9 x - 8 + 4

Add similar elements:

10 x^{2} - 9 x^{2} = x^{2}

= x^{2} + 9 x - 8 + 4

Add the numbers:

- 8 + 4 = - 4

= x^{2} + 9 x - 4

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

\frac{4 + 2 i}{2 - 3 i}

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

(3 x yz)^{0}

49 - 7

What is (10x^2+9x-8)-(9x^2-4) ?
The solution to (10x^2+9x-8)-(9x^2-4) is x^2+9x-4