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Equivalent Expressions

SAT Math· difficulty 2/5

Which expression is equivalent to x2+10x+25x^2 + 10x + 25?

  • A

    (x−5)2(x - 5)^2

  • B

    (x+25)(x+1)(x + 25)(x + 1)

  • C

    (x+5)2(x + 5)^2

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  • D

    (x+5)(x−5)(x + 5)(x - 5)

Explanation

Perfect square trinomial: a2+2ab+b2=(a+b)2a^2 + 2ab + b^2 = (a+b)^2. Here b=5b = 5, 2ab=10x2ab = 10x. So (x+5)2(x+5)^2.

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