Mathematics, 16.07.2019 05:30, tshegofatso92
Find the factors of the polynomial 4x²+ y²+ 4xy +8x +4y +4
Answers: 1
![4x^2+y^2+4xy+8x+4y+4\\\\=\underbrace{(2x)^2+2\cdot2x\cdot y+y^2}_{(a+b)^2=a^2+2ab+b^2}+8x+4y+4\\\\=\underbrace{(2x+y)^2+2(2x+y)\cdot2+2^2}_{(a+b)^2=a^2+2ab+b^2}\\\\=[(2x+y)+2]^2=(2x+y+2)^2](/tpl/images/0095/2081/961c6.png)
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