Please show how you did it, don't just state the answer. I need to know the process.
x^2 + 4xy + 4y^2
= x^2 + 2xy + 2xy + 4y^2
= x(x + 2y) + 2y(x + 2y)
= (x + 2y)(x + 2y)
= (x + 2y)^2
recognize a perfect square
a²+2ab+b² = (a+b)²
a=x, b=2y
x²+4xy+4y² = (x+2y)²
[ x +2y ] [ x + 2y ]
Comments
x^2 + 4xy + 4y^2
= x^2 + 2xy + 2xy + 4y^2
= x(x + 2y) + 2y(x + 2y)
= (x + 2y)(x + 2y)
= (x + 2y)^2
recognize a perfect square
a²+2ab+b² = (a+b)²
a=x, b=2y
x²+4xy+4y² = (x+2y)²
[ x +2y ] [ x + 2y ]