Factoring by Special Products Rule 1
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Question

Factor $64x^{2} + 16xy +y^{2} $

Answer

$\;\;\;64x^{2} + 16xy +y^{2} $

$=(8x)^2 + 2(8x)(y) + (y)^2 $

$=A^2 + 2AB + B^2 \text{, where } A = 8x \text{ and } B = y$

$=(A + B)^2 $

$=(8x + y)^2$