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1) 3x^2 +7x-6
=3x2-2x+9x-6
=x.(3x-2)+3.(3x-2)
=(3x-2)(x+3)
2)6x^213x+6
đề khùng
3)8x^2+5x+3
8x2-3x+8x+3
Đề khùng
5x2+14x-3=(5x2+15x)-(x+3)=5x(x+3)-(x+3)=(x+3)(5x-1)
5x2-18x-8=(5x2-20x)+(2x-8)=5x(x-4)+2(x-4)=(x-4)(5x+2)
6x2+7x-3=(6x2-2x)+(9x-3)=2x(3x-1)+3(3x-1)=(3x-1)(2x+3)
x2-xy-2y2=(x2-y2)-(xy+y2)=(x-y)(x+y)-y(x+y)=(x+y)(x-y-y)=(x+y)(x-2y)
a/ \(=2xy+x^2-2y^2-xy=x\left(2y+x\right)-y\left(2y+x\right)=\left(x-y\right)\left(2y+x\right)\)
b/ \(=x^2-3xy-2y^2\)
c/ \(=2xy-6y^2+x^2-3xy=2y\left(x-3y\right)+x\left(x-3y\right)=\left(2y+x\right)\left(x-3y\right)\)
d/ \(=xy-2y^2+2x^2-4xy=y\left(x-2y\right)+2x\left(x-2y\right)=\left(y+2x\right)\left(x-2y\right)\)
a)(x-y)(x+2y)
b) nghiệm lẻ>mìh nghĩ là sai đề
c)(x-3y)(x+2y)
d)(x-2y)(2x+y)
____________________________
li-ke cho mk nha bnLe Ngoc Bao Chau
a/ \(=2xy+6x^2-y^2-3xy=2x\left(y+3x\right)-y\left(y+3x\right)=\left(2x-y\right)\left(y+3x\right)\)
b/ \(=2x^2+5xy+y^2\)
c/ \(=-4y^2+6xy-4xy+6x^2=-2y\left(2y-3x\right)-2x\left(2y-3x\right)=\left(-2y-2x\right)\left(2y-3x\right)=-2\left(y+x\right)\left(2y-3x\right)\)
d/ \(=-4y^2-2xy+4xy+2x^2=-2y\left(2y+x\right)+2x\left(2y+x\right)=\left(-2y+2x\right)\left(2y+x\right)=-2\left(y-x\right)\left(2y+x\right)\)
x^2 + xy - 2y^2 = ( x^2 - 2xy + y^2 ) + 3xy - 3y^2 = ( x - y )^2 + 3y.( x - y ) = ( x - y )(x + 2y)
\(x^3-x^2-x-2=x^3-2x^2+x^2-2x+x-2\) \(-2\)
\(=\) \(x^2\left(x-2\right)+x\left(x-2\right)+\left(x-2\right)\)
\(=\left(x^2+x+1\right)\left(x-2\right)\)
\(x^3-6x^2-x+30=x^3+2x^2-8x^2-16x+15x+30\)
\(=x^2\left(x+2\right)-8x\left(x+2\right)+15\left(x+2\right)\)
\(=\) \(\left(x^2-8x+15\right)\left(x+2\right)\)
\(=\left(x^2-5x-3x+15\right)\left(x+2\right)\)
\(=\left(x-5\right)\left(x-3\right)\left(x+2\right)\)
\(1.-8x^2+5x+3=-8x^2+8x-3x+3=-8x\left(x-1\right)-3\left(x-1\right)=-\left(8x+3\right)\left(x-1\right)\)
\(2.-10x^2-17x+6=-10x^2-20x+3x+6=-10x\left(x+2\right)+3\left(x+2\right)=\left(x+2\right)\left(3-10x\right)\)