12x^2*y-18xy^2-30y^2
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\(12x^2y-18xy^2-30y^3\)
\(=6xy\left(2x-3y-5y^2\right)\)
\(=6xy\left[-5y^2-5y+2y+2\right]\)
\(=6xy\left[-5y\left(y+1\right)+2\left(y+1\right)\right]\)
\(=6xy\left(y+1\right)\left(2-5y\right)\)
\(12x^2y-18xy^2-30y^3\)
\(=12x^2y+12xy^2-30xy^2-30y^3\)
\(=-2x\left(-6y^2-6xy\right)-5y\left(-6xy-6y^2\right)\)
\(=\left(-6y^2-6xy\right)\left(-2x-5y\right)\)
\(=-6y\left(x+y\right)\left(-2x-5y\right)\)
12x2y - 18xy2 - 30y3
= 12x2y - 18yy - 30yy2
= 2.6x2y + 3.6yy + 5.6yy2
= 6y.(2x2 - 3xy + 5y2)
= 6y.(x + y)(2x - 5y)
b, \(12x^2y-18xy^2-30y^3\)
\(=6y\left(2x^2-3xy-5y^2\right)\)
d)5.(x-y)-y(x-y)
=(x-y)(5-y)
e) y.(x-z)+7(z-x)
=y.(x-z)-7(x-z)
=(x-z)(y-7)
a) \(12x^2y-18xy^2-30y^2=6y\left(2x^2-3xy-5y\right)\)
b) \(5\left(x-y\right)-y\left(x-y\right)=\left(5-y\right)\left(x-y\right)\)
c) \(y\left(x-z\right)+7\left(z-x\right)=y\left(x-z\right)+7\left[-\left(x-z\right)\right]\)
\(=y\left(x-z\right)-7\left(x-z\right)\)
\(\left(y-7\right)\left(x-z\right)\)
d) \(36-12x+x^2=\left(6-x\right)^2\)
e) \(\left(y-4\right)^2-9\left(y+2\right)^2=-4\left(y +5\right)\left(2y+1\right)\)
12x2y-18xy2-30y2
=6y(2x2-3xy-5y)