Which of the following correctly simplifies (−7x^4 +6x^2 + 5) − (2x^4 −8x^2 +5)
(1 point)
Responses
−9x4 +14x2 +10
−9x4 +14x2 +10
−7x4 +6x2 +5 −2x4 +8x2 −5
−7x4 +6x2 +5 −2x4 +8x2 −5
−9x4 +14x2
−9x4 +14x2
−9x4 −2x2 +10
To simplify the expression (−7x^4 + 6x^2 + 5) − (2x^4 − 8x^2 + 5), we can combine like terms within each set of parentheses and then simplify further.
(-7x^4 + 6x^2 + 5) - (2x^4 - 8x^2 + 5)
= -7x^4 + 6x^2 + 5 - 2x^4 + 8x^2 - 5 (distributing the negative sign)
= -7x^4 - 2x^4 + 6x^2 + 8x^2 + 5 - 5 (rearranging terms)
= -9x^4 + 14x^2 + 0 (combining like terms)
= -9x^4 + 14x^2 (simplifying further)
Therefore, the correct simplified form is -9x^4 + 14x^2. So the correct response is:
-9x^4 + 14x^2.