Question

Which expression is equivalent to (X^5 +2X^2−4)−(−5X^5−3X^2+2X−7)?

Answer 1

6
`x^(5)` + 5x² - 2x + 3

Explanation:

Given

(
`x^(5)` + 2x² - 4) - (-5
`x^(5)` - 3x² + 2x - 7)

Remove the parenthesis on the first factor and distribute the second by - 1

=
`x^(5)` + 2x² - 4 + 5
`x^(5)` + 3x² - 2x + 7 ← collect like terms

= 6
`x^(5)` + 5x² - 2x + 3 ← in standard form