What is (-8y^2-9y)-(-8y^3+9y^2-5y) ?

The solution to (-8y^2-9y)-(-8y^3+9y^2-5y) is 8y^3-17y^2-4y

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simplify (-8y^2-9y)-(-8y^3+9y^2-5y)

simplify

(- 8 y^{2} - 9 y) - (- 8 y^{3} + 9 y^{2} - 5 y)

8 y^{3} - 17 y^{2} - 4 y

Solution steps

(- 8 y^{2} - 9 y) - (- 8 y^{3} + 9 y^{2} - 5 y)

Apply rule:

(a) = a

(- 8 y^{2} - 9 y) = - 8 y^{2} - 9 y

= - 8 y^{2} - 9 y - (- 8 y^{3} + 9 y^{2} - 5 y)

Apply the distributive law:

- (- a + b) = a - b

- (- 8 y^{3} + 9 y^{2} - 5 y) = 8 y^{3} - 9 y^{2} + 5 y

= - 8 y^{2} - 9 y + 8 y^{3} - 9 y^{2} + 5 y

Group like terms

= 8 y^{3} - 8 y^{2} - 9 y^{2} - 9 y + 5 y

Add similar elements:

- 8 y^{2} - 9 y^{2} = - 17 y^{2}

= 8 y^{3} - 17 y^{2} - 9 y + 5 y

Add similar elements:

- 9 y + 5 y = - 4 y

= 8 y^{3} - 17 y^{2} - 4 y

(y + 3)^{3}

lo g_{10} (90)

\frac{10}{18}

\frac{75}{4}

\frac{6}{4}

What is (-8y^2-9y)-(-8y^3+9y^2-5y) ?
The solution to (-8y^2-9y)-(-8y^3+9y^2-5y) is 8y^3-17y^2-4y