\(9y^2-\left(x+y\right)^2=\left(3y-x-y\right)\left(3y+x+y\right)=\left(2y-x\right)\left(4y+x\right)=8y+2xy-4xy-x^2\)
\(=8y^2-2xy-x^2\)
`9y^2 - (x+y)^2`
`= (3y)^2 - (x+y)^2`
`= (3y - x - y) (3y +x+y)`
`= (2y - x) (4y+x)`
`= 2y (4y+x)-x(4y+x)`
`= 8y^2 + 2xy - 4xy - x^2`
`= 8y^2 - 2xy - x^2`
Vận dụng HĐT : `A^2 - B^2 = (A-B)(A+B)`
9y2 - ( x + y )2
= ( 3y )2 - ( x + y )2
= ( 3y - x - y )( 3y + x + y )
= ( 2y - x )( 4y + x )
