What is (-w^3+8w^2-3w)-(4w^2+5w-7) ?

The solution to (-w^3+8w^2-3w)-(4w^2+5w-7) is -w^3+4w^2-8w+7

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simplify (-w^3+8w^2-3w)-(4w^2+5w-7)

simplify

(- w^{3} + 8 w^{2} - 3 w) - (4 w^{2} + 5 w - 7)

- w^{3} + 4 w^{2} - 8 w + 7

Solution steps

(- w^{3} + 8 w^{2} - 3 w) - (4 w^{2} + 5 w - 7)

Apply rule:

(a) = a

(- w^{3} + 8 w^{2} - 3 w) = - w^{3} + 8 w^{2} - 3 w

= - w^{3} + 8 w^{2} - 3 w - (4 w^{2} + 5 w - 7)

Apply the distributive law:

- (a + b) = - a - b

- (4 w^{2} + 5 w - 7) = - 4 w^{2} - 5 w + 7

= - w^{3} + 8 w^{2} - 3 w - 4 w^{2} - 5 w + 7

Group like terms

= - w^{3} + 8 w^{2} - 4 w^{2} - 3 w - 5 w + 7

Add similar elements:

8 w^{2} - 4 w^{2} = 4 w^{2}

= - w^{3} + 4 w^{2} - 3 w - 5 w + 7

Add similar elements:

- 3 w - 5 w = - 8 w

= - w^{3} + 4 w^{2} - 8 w + 7

(a + b) (c + d)

\frac{24}{9}

3 \times (- 3)

30 \div 6

(x^{2} + 3 x + 5) - (x^{4} + 2 x + 6)

What is (-w^3+8w^2-3w)-(4w^2+5w-7) ?
The solution to (-w^3+8w^2-3w)-(4w^2+5w-7) is -w^3+4w^2-8w+7