a) \(=3\left(x-3y\right)\)
b) \(=5xy\left(3x-2y\right)\)
c) \(=5y\left(x+2y\right)+2\left(x+2y\right)=\left(x+2y\right)\left(5y+2\right)\)
d) \(=\left(9x^2+6x+1\right)-4y^2=\left(3x+1\right)^2-4y^2=\left(3x+1-2y\right)\left(3x+1+2y\right)\)
e) \(=x\left(x+1\right)+3\left(x+1\right)=\left(x+1\right)\left(x+3\right)\)
g) \(=x\left(x-2\right)-\left(x-2\right)=\left(x-2\right)\left(x-1\right)\)
a) \(3x-9y\)
\(=3\left(x-3y\right)\)
b) \(15x^2y-10xy^2\)
\(=5xy\left(3x-2y\right)\)
c) \(5xy+10y^2+2x+4y\)
\(=\left(x+2y\right)\left(5y+2\right)\)
d) \(9x^2-4x^2+6x+1\)
\(=\left(3x+1-2y\right)\left(3x+1+2y\right)\)
e) \(x^2+4x+3\)
\(=\left(x+1\right)\left(x+3\right)\)
d) \(x^2-3x+2\)
\(=\left(x-1\right)\left(x-2\right)\)
a, 3( x-3y )
b, 5xy( 3x-2y )
c, ( 5xy+ 10y^2 ) + ( 2x+4y )
= 5y( x+2y ) + 2(x+2y)
= ( x+2y )(5y+2)
d, ( 9x^2 + 6x + 1 ) - 4y^2
= ( 3x+1)^2 - 4y^2
= ( 3x+1)^2 - (2y)^2
= (3x+2y+1)(3x-2y+1)
e, x^2 +4x+4-1
= ( x^2+4x+4) -1
= ( x+2)^2 - 1
= ( x+2+1)(x+2-1)
= ( x+3 ) ( x+1)
g, (x^2 -2x +1) - (x-1)
= ( x-1)^2 - (x-1)
= x-1
