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Equivalent Expressions

SAT Math· difficulty 2/5

Which expression is equivalent to (x+3)(x−5)(x + 3)(x - 5)?

  • A

    x2−2x−15x^2 - 2x - 15

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  • B

    x2+2x−15x^2 + 2x - 15

  • C

    x2−2x+15x^2 - 2x + 15

  • D

    x2−8x−15x^2 - 8x - 15

Explanation

FOIL: x⋅x+x(−5)+3⋅x+3(−5)=x2−5x+3x−15=x2−2x−15x \cdot x + x(-5) + 3 \cdot x + 3(-5) = x^2 - 5x + 3x - 15 = x^2 - 2x - 15.

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