Question

Add polynomials (intro) Add. Your answer should be an expanded polynomial in standard form. (-4b^2 +8b) + (-4b^3 + 5b^2 - 8b)​

Answer 1

Explanation:

Hey there!

Given;

`= ( - 4 {b}^(2) + 8b) + ( - 4 {b}^(3) + 5 {b}^(2) - 8b)`

Open brackets.

`= - 4 {b}^(2) + 8b - 4 {b}^(3) + 5 {b}^(2) - 8b`

Simplify the like terms.

`= - 4 {b}^(3) - 4 {b}^(2) + 5 {b}^(2) + 8b - 8b`

"+8b" and "-8b" cancelled. And "-4b^2" and "+5b^2" will be subtracted.

`= - 4 {b}^(3) + {b}^(2)`

Therefore the required answer is -4b^3+b^2.

Hope it helps...