14) \(2x^2+x-6=2x^2+4x-3x-6=2x\left(x+2\right)-3\left(x+2\right)=\left(2x-3\right)\left(x+2\right)\)

15) \(7x^2+50x+7=7x^2+49x+x+7=7x\left(x+7\right)+\left(x+7\right)=\left(7x+1\right)\left(x+7\right)\)

16) \(12x^2+7x-12=12x^2+16x-9x-12=4x\left(3x+4\right)-3\left(3x+4\right)=\left(4x-3\right)\left(3x+4\right)\)

17) \(15x^2+7x-2=15x^2-3x+10x-2=3x\left(5x-1\right)+2\left(5x-1\right)=\left(3x+2\right)\left(5x-1\right)\)

18) \(2x^2-y^2+xy=2x^2+2xy-xy-y^2=2x\left(x+y\right)-y\left(x+y\right)=\left(2x-y\right)\left(x+y\right)\)

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

x3+10x2+25x-xy2

\(x^3+10x^2+25x-xy^2\)

\(=x\left(x^2+10x+25-y^2\right)\)

\(=x\left[\left(x+5\right)^2-y^2\right]\)

\(=x\left(x+y+5\right)\left(x+y-5\right)\)

1) X^2 +xy - 8x - 8y

2) 9x^2- 6x + 1 - 36y^2

3) a^2 - b^2 - 12a + 12b

4) x^2 - 2xy + 8x - 16y

5) x^2 - 9y^2 + 5x + 15y

Mấy bạn giúp mình bài này nha

1)x2+xy-8x-8y=x(x+y)-8(x+y)=(x+y)(x-8)

2)9x2-6x+1-36y2=(3x-1)2-(6y)2=(3x-1-6y)(3x-1+6y)

3)a2-b2-12a+12b=(a-b)(a+b)-12(a-b)=(a-b)(a+b-12)

4)x2-2xy+8x-16y=x(x-2y)+8(x-2y)=(x-2y)(x+8)

5)x2-9y2+5x+15y=(x-3y)(x+3y)+5(x+3y)=(x+3y)(x-3y+5)

\(1,x^2+xy-8x-8y=x\left(x+y\right)-8\left(x+y\right)=\left(x-8\right)\left(x+y\right)\)\(3,a^2-b^2-12a+12b=\left(a-b\right)\left(a+b\right)-12\left(a-b\right)=\left(a-b\right)\left(a+b-12\right)\)\(4,x^2-2xy+8x-16y=x\left(x-2y\right)+8\left(x-2y\right)=\left(x+8\right)\left(x-2y\right)\)\(5,x^2-9y^2+5x+15y=\left(x-3y\right)\left(x+3y\right)+5\left(x+3y\right)=\left(x+3y\right)\left(x-3y+5\right)\)