What is (-8x^3+6x^2-3x-2)-(10x^3-12x^2+2x-1) ?

The solution to (-8x^3+6x^2-3x-2)-(10x^3-12x^2+2x-1) is -18x^3+18x^2-5x-1

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simplify (-8x^3+6x^2-3x-2)-(10x^3-12x^2+2x-1)

simplify

(- 8 x^{3} + 6 x^{2} - 3 x - 2) - (10 x^{3} - 12 x^{2} + 2 x - 1)

- 18 x^{3} + 18 x^{2} - 5 x - 1

Solution steps

(- 8 x^{3} + 6 x^{2} - 3 x - 2) - (10 x^{3} - 12 x^{2} + 2 x - 1)

Apply rule:

(a) = a

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

= - 8 x^{3} + 6 x^{2} - 3 x - 2 - (10 x^{3} - 12 x^{2} + 2 x - 1)

Apply the distributive law:

- (a - b) = - a + b

- (10 x^{3} - 12 x^{2} + 2 x - 1) = - 10 x^{3} + 12 x^{2} - 2 x + 1

= - 8 x^{3} + 6 x^{2} - 3 x - 2 - 10 x^{3} + 12 x^{2} - 2 x + 1

Group like terms

= - 8 x^{3} - 10 x^{3} + 6 x^{2} + 12 x^{2} - 3 x - 2 x - 2 + 1

Add similar elements:

- 8 x^{3} - 10 x^{3} = - 18 x^{3}

= - 18 x^{3} + 6 x^{2} + 12 x^{2} - 3 x - 2 x - 2 + 1

Add similar elements:

6 x^{2} + 12 x^{2} = 18 x^{2}

= - 18 x^{3} + 18 x^{2} - 3 x - 2 x - 2 + 1

Add similar elements:

- 3 x - 2 x = - 5 x

= - 18 x^{3} + 18 x^{2} - 5 x - 2 + 1

Add the numbers:

- 2 + 1 = - 1

= - 18 x^{3} + 18 x^{2} - 5 x - 1

2 a a^{m} \cdot 3 b a^{1 - m}

a^{2} (b - c) + b^{2} (c - a) + c^{2} (a - b)

4 - (x + 2)^{2}

\frac{\frac{9 m + 63}{m ^{2} + 11 m + 28}}{\frac{9}{8 m + 32}}

3 x^{2} x

What is (-8x^3+6x^2-3x-2)-(10x^3-12x^2+2x-1) ?
The solution to (-8x^3+6x^2-3x-2)-(10x^3-12x^2+2x-1) is -18x^3+18x^2-5x-1