What is (2x^3+9x-8)-(4x^2-15x+7) ?

The solution to (2x^3+9x-8)-(4x^2-15x+7) is 2x^3-4x^2+24x-15

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simplify (2x^3+9x-8)-(4x^2-15x+7)

simplify

(2 x^{3} + 9 x - 8) - (4 x^{2} - 15 x + 7)

2 x^{3} - 4 x^{2} + 24 x - 15

Solution steps

(2 x^{3} + 9 x - 8) - (4 x^{2} - 15 x + 7)

Apply rule:

(a) = a

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

= 2 x^{3} + 9 x - 8 - (4 x^{2} - 15 x + 7)

Apply the distributive law:

- (a - b) = - a + b

- (4 x^{2} - 15 x + 7) = - 4 x^{2} + 15 x - 7

= 2 x^{3} + 9 x - 8 - 4 x^{2} + 15 x - 7

Group like terms

= 2 x^{3} - 4 x^{2} + 9 x + 15 x - 8 - 7

Add similar elements:

9 x + 15 x = 24 x

= 2 x^{3} - 4 x^{2} + 24 x - 8 - 7

Subtract the numbers:

- 8 - 7 = - 15

= 2 x^{3} - 4 x^{2} + 24 x - 15

- 2 (10 - 46)

3 \div \frac{2}{5}

i^{4} + i^{3} - 3 i^{16} + 4 i^{5}

4 n - 4 m + 3 n - 5 m

What is (2x^3+9x-8)-(4x^2-15x+7) ?
The solution to (2x^3+9x-8)-(4x^2-15x+7) is 2x^3-4x^2+24x-15