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Equivalent Expressions

SAT Math· difficulty 3/5

Which expression is equivalent to (2x+5)2(2x + 5)^2?

  • A

    2x2+20x+252x^2 + 20x + 25

  • B

    4x2+20x+254x^2 + 20x + 25

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  • C

    4x2+10x+254x^2 + 10x + 25

  • D

    4x2+254x^2 + 25

Explanation

(a+b)2=a2+2ab+b2(a+b)^2 = a^2 + 2ab + b^2: (2x)2+2(2x)(5)+52=4x2+20x+25(2x)^2 + 2(2x)(5) + 5^2 = 4x^2 + 20x + 25.

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