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Polynomials

Write the fac...

Question

Write the factors of the following polynomials

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

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Solution

4x²+y²+ 4xy + 8x + 4y + 4

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

by identity (a+b+c)² = a²+ b²+ c²+2ab + 2bc + 2ca

(2x+y+2)²

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