Question

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

Answer 1

`-3x^(3) -9x^2+3`

Explanation:

Given

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

Required

Simplify

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

Open brackets

`5x^(3) -7x^(2) +3x-4-8x^3 -2x^2 -3x+7`

Collect Like Terms

`-8x^3+5x^(3) -7x^(2) -2x^2+3x -3x-4+7`

Simplify like terms

`-3x^(3) -9x^2+3`