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Equivalent Expressions

SAT Math· difficulty 4/5

Which expression is equivalent to x4−5x2−36x^4 - 5x^2 - 36?

  • A

    (x2−9)(x2+4)(x^2 - 9)(x^2 + 4)

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  • B

    (x2+9)(x2−4)(x^2 + 9)(x^2 - 4)

  • C

    (x2−4)(x2−9)(x^2 - 4)(x^2 - 9)

  • D

    (x−6)(x+6)(x2+1)(x - 6)(x + 6)(x^2 + 1)

Explanation

Let u=x2u = x^2: u2−5u−36=(u−9)(u+4)=(x2−9)(x2+4)u^2 - 5u - 36 = (u - 9)(u + 4) = (x^2 - 9)(x^2 + 4).

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