Question

Which expression is equivalent to(2x^5+7x^3)-(5x^2-4x^3)

Answer 1

Hi

(2x⁵+7x³) - (5x²-4x³) = 2x⁵+7x³-5x²+4x³ = 2x⁵+11x³-5x²

Answer: 2x⁵+11x³-5x²

Answer 2

The equivalent expression is
`2x^5+11x^3-5x^2`

Explanation:

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

Here we have expression and to simplify it

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

Distribute minus sign

`\Rightarrow 2x^5+7x^3-5x^2+4x^3`

Combine the like terms (whose variable part same)

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

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

Equivalent expression
`\Rightarrow 2x^5+11x^3-5x^2`

Hence, The equivalent expression is
`2x^5+11x^3-5x^2`