xy + 2x + y + 2 = y(x + 1) + 2(x + 1) = (x + 1).(y + 2)
x(x - 1) + x(x + 3) = x(x - 1 + x + 3) = x. ( 2x + 2) = 2x.(x + 1)
\(-4x^2+8x-4=-4\left(x^2-2x+1\right)=-4\left(x-1\right)^2\)
c: \(-4x^2+8x-4\)
\(=-4\left(x^2-2x+1\right)\)
\(=-4\left(x-1\right)^2\)
a) \(xy+2x+y+2\)
\(=\left(xy+y\right)+\left(2x+2\right)\)
\(=y\left(x+1\right)+2\left(x+1\right)\)
\(=\left(y+2\right)\left(x+1\right)\)
b) \(x\left(x-1\right)+x\left(x+3\right)\)
\(=x^2-x+x^2+3x\)
\(=2x^2+2x\)
\(=2x\left(x+1\right)\)
c) \(-4x^2+8x-4\)
\(=-\left[\left(2x\right)^2-2.2x.2+2^2\right]\)
\(=-\left(2x-2\right)^2\)
a, xy + 2x + y + 2
= (xy + y) + ( 2x + 2)
= y.( x + 1) + 2.( x + 1)
= (y + 2 ).(x + 1)
b) x(x - 1) + x(x + 3)
= x.(x - 1 + x+ 3)
= x.(2x+2)
c) -4x2 + 8x - 4
= - ( 4x2 - 8x + 4)
= - (2x-2)2
