Question bank / Equivalent expressions

Math · Advanced MathEasy

Which expression is equivalent to (x2+3x−4)−(2x2−x+6)(x^2 + 3x - 4) - (2x^2 - x + 6)?

A

−x2+4x−10-x^2 + 4x - 10

B

3x2+2x+23x^2 + 2x + 2

C

−x2+2x+2-x^2 + 2x + 2

D

−x2+4x+2-x^2 + 4x + 2

Show answer and explanation

Answer: A

Distribute the negative sign: x2+3x−4−2x2+x−6x^2 + 3x - 4 - 2x^2 + x - 6. Combine like terms: (1−2)x2+(3+1)x+(−4−6)=−x2+4x−10(1 - 2)x^2 + (3 + 1)x + (-4 - 6) = -x^2 + 4x - 10.

Choice C subtracts only the first term of the second polynomial and adds the rest.

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