Question

Question 4
Factorise the following expression.
x sq.+ 4x + 8y + 4xy + 4y Sq.​

Answer 1

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Step-by-step explanation:

x² + 4xy + 4y² + 4x + 8y

=(x+2y)² + 2(x+2y)

=(x+2y)(x+2y+2)

Answer 2

Step-by-step explanation:

x^2+4x+8y+4xy+4y^2

=(x^2+4xy+4y^2)+(4x+8y)

={(x)^2+2×x×2y+(2y)^2}+4(x+2y)

=(x+2y)^2+4(x+2y)

taking (x+2y) as common factor we get

=(x+2y){x+2y+4}