Question

Which expression is equivalent to (2x^5 + 7x³) - (5x² - 4x³)?a)-3x³ +11b) -3x³ +3c) 2x5 + 11x³5x²d) 2x5-3x³-5x2²

Answer 1

Given:

`(2x^5+7x^3)-(5x^2-4x^3)`

Required:

We need to find the equivalent expression of the given.

Step-by-step explanation:

Distribute the minus sign.

`(2x^5+7x^3)-(5x^2-4x^3)=2x^5+7x^3-5x^2+4x^3`

Add like terms.

`(2x^5+7x^3)-(5x^2-4x^3)=2x^5+7x^3+4x^3-5x^2`
`(2x^5+7x^3)-(5x^2-4x^3)=2x^5+11x^3-5x^2`

Final answer:

`2x^5+11x^3-5x^2`