Equivalent Expressions

SAT Math· difficulty 3/5

Which expression is equivalent to (3x2)(2x+5)(3x - 2)(2x + 5)?

  • A

    6x2+11x+106x^2 + 11x + 10

  • B

    6x211x106x^2 - 11x - 10

  • C

    6x2+11x106x^2 + 11x - 10

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  • D

    6x211x+106x^2 - 11x + 10

Explanation

(3x)(2x)+(3x)(5)+(2)(2x)+(2)(5)=6x2+15x4x10=6x2+11x10(3x)(2x) + (3x)(5) + (-2)(2x) + (-2)(5) = 6x^2 + 15x - 4x - 10 = 6x^2 + 11x - 10.

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