Câu 1
a) \(\left(x+2\right)^2-16=\left(x+2\right)^2-4^2=\left(x+2+4\right)\left(x+2-4\right)=\left(x+6\right)\left(x-2\right)\)
b) \(4x^2-12x+9=\left(2x-3\right)^2\)
c) \(4y^2-4xy-7y+7x=4y\left(y-x\right)-7\left(y-x\right)=\left(4y-7\right)\left(y-x\right)\)
d) \(x^3y^2+x^2y^3-5x^2y-5xy^2=xy\left(x^2y+xy^2-5x-5y\right)\)
= \(xy\left[xy\left(x+y\right)-5\left(x+y\right)\right]=xy\left(x+y\right)\left(xy-5\right)\)
e) \(2x^3-8x^2-24x=2x\left(x^2-4x-12\right)=2x\left(x^2+2x-6x-12\right)\)
= \(2x\left[x\left(x+2\right)-6\left(x+2\right)\right]=2x\left(x-6\right)\left(x+2\right)\)
Câu 1:
\(a,=\left(x+2-4\right)\left(x+2+4\right)=\left(x-2\right)\left(x+6\right)\\ b,=\left(2x-3\right)^2\\ c,=4y\left(y-x\right)-7\left(y-x\right)=\left(y-x\right)\left(4y-7\right)\\ d,=x^2y^2\left(x+y\right)-5xy\left(x+y\right)=xy\left(xy-5\right)\left(x+y\right)\\ e,=2x\left(x^2-4x-12\right)\\ =2x\left(x^2-6x+2x-12\right)\\ =2x\left(x-5\right)\left(x+2\right)\)
Câu 2:
\(a,=-3x^2y^5\\ b,=5x^3-3x^4y^2+4x^2y^2\\ c,=6xy\)