\(a,2x-2y+ax-ay\\ =2\left(x-y\right)+a\left(x-y\right)\\ =\left(2+a\right)\left(x-y\right)\\ b,x^2-10xy+25y^2\\ =\left(x^2-2.x.5y+\left(5y\right)^2\right)\\ =\left(x-5y\right)^2\\ c,3x^2-5x+2=3x^2-3x-2x+2\\ =3x\left(x-1\right)-2\left(x-1\right)\\ =\left(3x-2\right)\left(x-1\right)\\ d,x^3-x^2y-xy^2-y^3\\ =\left(x^3-y^3\right)-xy\left(x+y\right)??\)
Bạn xem lại đề câu d
a) \(2x-2y+ax-ay=2\left(x-y\right)+a\left(x-y\right)\)
\(=\left(x-y\right)\left(2+a\right)\)
b) \(-x^2-10xy-25y^2=-\left(x^2+10xy+25y^2\right)=-\left(x+5y\right)^2\)
c) \(3x^2-5x+2=\left(3x^2-3x\right)-\left(2x-2\right)\)
\(=3x\left(x-1\right)-2\left(x-1\right)=\left(x-1\right)\left(3x-2\right)\)
d) \(x^3-x^2y-xy^2+y^3=x^2\left(x-y\right)-y^2\left(x-y\right)\)
\(=\left(x-y\right)\left(x^2-y^2\right)=\left(x-y\right)^2\left(x+y\right)\)
a) 2x - 2y + ax - ay = (2x - 2y) + (ax - ay)
= 2(x - y) + a(x - y)
= (x - y)(2 + a)
b) -x² - 10xy - 25y² = - (x² + 10xy + 25y²)
= - [x² + 2.x.5y + (5y)²]
= - (x + 5y)²
c) 3x² - 5x + 2 = 3x² - 3x - 2x + 2
= 3x(x - 1) - 2(x - 1)
= (x - 1)(3x - 2)
d) x³ - x²y - xy² - y³ = x³ - x²y - xy² - y³
= x²(x - y) - y²(x - y)
= (x - y)(x² - y²)
= (x - y)(x - y)(x + y)
@Hy~Hoctotnha
