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2\left(x^{2}y+8xy+16y\right)
Factoriza 2.
y\left(x^{2}+8x+16\right)
Considera x^{2}y+8xy+16y. Factoriza y.
\left(x+4\right)^{2}
Considera x^{2}+8x+16. Usa a fórmula cadrada perfecta, a^{2}+2ab+b^{2}=\left(a+b\right)^{2}, onde a=x e b=4.
2y\left(x+4\right)^{2}
Reescribe a expresión factorizada completa.