a,\(5x^2y-2xy\)
\(=xy\left(5x-2\right)\)
b,\(x^2-6x+9\)
\(=x^2-2.x.3+3^2\)
\(=\left(x-3\right)^2\)
c,\(8x^3-27\)
\(=\left(2x\right)^3-3^3\)
\(=\left(2x-3\right)\left(4x^2+6x+9\right)\)
d,\(x^2-2x-25y^2+1\)
\(=x^2-2x+1-25y^2\)
\(=\left(x-1\right)^2-\left(5y\right)^2\)
\(\left(x-1-5y\right)\left(x-1+5y\right)\)
e,\(6x^2-x-5\)
\(=6x^2-6x+5x-5\)
\(=\left(6x^2-6x\right)+\left(5x-5\right)\)
\(=6x\left(x-1\right)+5\left(x-1\right)\)
\(=\left(6x+5\right)\left(x-1\right)\)
f,\(\left(2x-y\right)\left(x+3\right)-5\left(y-2x\right)\)
\(=\left(2x-y\right)\left(x+3\right)+5\left(2x-y\right)\)
\(=\left(2x-y\right)\left(x+3+5\right)\)
g,\(\left(x+y\right)^2-z^2\)
\(=\left(x+y-z\right)\left(x+y+z\right)\)
k,\(x^3-4x^2+4x\)
\(=x\left(x^2-4x+4\right)\)
\(=x\left(x-2\right)^2\)
m,\(5x^2-x+y-5y^2\)
\(=\left(5x^2-5y^2\right)+\left(-x+y\right)\)
\(=5\left(x^2-y^2\right)-\left(x-y\right)\)
\(=5\left(x-y\right)\left(x+y\right)-\left(x-y\right)\)
\(=5\left(x-y\right)\left(x+y-1\right)\)
(Câu này mình chưa chắc lắm,bạn xem lại nhé)
i,\(x^2+9x-10\)
\(=x^2+10x-x-10\)
\(=\left(x^2-x\right)+\left(10x-10\right)\)
\(=x\left(x-1\right)+10\left(x-1\right)\)
\(=\left(x+10\right)\left(x-1\right)\)
Chúc bạn học tốt!!!
