= x² + 6xy + 5y² - 5y - x

= 5y² + 5xy - 5y + xy + x² - x

= 5y(y + x - 1) + x(y + x - 1)

= (y + x - 1)(5y + x)

a. x² + 7xy + 10y²

= x² + 2xy + 5xy + 10y²

= x.(x + 2y) + 5y.(x + 2y)

= (x + 2y).(x + 5y)

b. x² - 6xy + 5y²

= x² - xy - 5xy + 5y²

= x.(x - y) - 5y.(x - y)

= (x - y).(x - 5y)

x²-6xy+9y²-36 =(x²-6xy+9y²)-36 =(x-3y)²-6² =(x-3y+6)(x-3y-6)

=(x²+6xy+9) -y²

= (x+3)²-y²

=(x+3-y)(x+3+y)

a) Ta có: \(x^2y^2-x^2+6xy-9y^2\)

\(=x^2y^2-\left(x^2-6xy+y^2\right)\)

\(=\left(xy\right)^2-\left(x-3y\right)^2\)

\(=\left(xy-x+3y\right)\left(xy+x-3y\right)\)

b) Ta có: \(9-x^2+2xy-y^2\)

\(=9-\left(x^2-2xy+y^2\right)\)

\(=9-\left(x-y\right)^2\)

\(=\left(9-x+y\right)\left(9+x-y\right)\)

a. \(x^2-y^2=\left(x-y\right)\left(x+y\right)\)

b. \(x^2-6xy+9y^2-36=\left(x-3y\right)^2-6^2=\left(x-3y-6\right)\left(x-3y+6\right)\)

a: \(x^2-y^2=\left(x-y\right)\left(x+y\right)\)

b: \(x^2-6xy+9y^2-36=\left(x-3y\right)^2-6^2=\left(x-3y-6\right)\left(x-3y+6\right)\)

=[x²-6xy+(3y)²-49]

=[(x-3y)²-7²]

=(x-3y-7)*(x+3y+7)

= x^2 - 6xy + 9y^2 - 49

= x^2 - 6xy + ( 3y )^2 - 49

= (x - 3y)^2 - 7^2

= (x - 3y -7)( x-3y +7) tk cho mk nha

\(x^2-49-6xy+9y^2\)

\(=\left(x^2-6xy+9y^2\right)-7^2\)

\(=\left(x-3y\right)^2-7^2\)

\(=\left(x-3y-7\right)\left(x-3y+7\right)\)

k mk nha ^_^

2)3x²-6xy+3y²=3(x²-2xy+y²)=3(x-y)²

3)3(x-y)-5y(y-x)=3(x-y)+5y(x-y)=(x-y)(3+5y)

5)(x+y)³-(x-y)³=[(x+y)-(x-y)][(x+y)²+(x+y)(x-y)+(x-y)²]=(x+y-x+y)(x²+2xy+y²+x²-y²+x²-2xy+y²)=2y(3x²+y²)

6)3x²-5x+2=3x²-2x-3x+2=(3x²-3x)-(2x-2)=3x(x-1)-2(x-1)=(x-1)(3x-2)