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Expand (2x + 3)^2

Worked through step by step. More algebra.

Answer
4x2+12x+9\boxed{4x^2 + 12x + 9}

We can check this by multiplying the binomials (2x+3)(2x+3)(2x + 3)(2x + 3) using the FOIL method, which yields the same result.

Problem: Expand the binomial expression (2x+3)2(2x + 3)^2.

Steps

  1. Apply the binomial square formula (a+b)2=a2+2ab+b2(a + b)^2 = a^2 + 2ab + b^2
    (2x)2+2(2x)(3)+32(2x)^2 + 2(2x)(3) + 3^2
  2. Evaluate the exponents and products
    4x2+12x+94x^2 + 12x + 9

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