phân tích thành nhân tử
\(x^2 -8xy+7y^2\)
\(x^2 -9xy+14y^2\)
\(x^2 -11xy+18y^2\)
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P(x)+Q(x)
=3x^2y-2x+5xy^2-7y^2+3xy^2-7y^2-9x^2y-x-5
=8xy^2-14y^2-6x^2y-3x-5
=>Chọn A
1 \(=\left(4x^2+4x+1\right)-\left(3y\right)^2\)
\(=\left(2x+1\right)^2-\left(3y\right)^2\)
\(=\left(2x+1-3y\right)\left(2x+1+3y\right)\)
2,\(=\left(x^2+2xy+y^2\right)-\left(z^2-2zt+t^2\right)\)
\(=\left(x+y\right)^2-\left(z-t\right)^2\)
\(=\left(x+y+z-t\right)\left(x+y-z+t\right)\)
3,\(=9x\left(x-y\right)-7\left(x-y\right)\)
\(=\left(x-y\right)\left(9x-7\right)\)
4\(=3\left(x-y\right)+a\left(x-y\right)\)
\(=\left(x-y\right)\left(3+a\right)\)
b) x2 + 9x + 20 = x2 + 4x + 5x +20 =x(x + 4) + 5(x + 4) = (x + 4)(x+ 5)
a) 7x^2-7y^2-14x+14y= 7 ( x^2 - y^2 ) - 14 ( x+y) = 14 ( 2(x^2) - 2 (x^2))- 28 ( 2x+2y)
= 28 ( 4 ( x^2)-4(y^2))- 28 ( 2x+2y)
= 28 (4(x^2-y^2) - 4(x+y)
= 28 (4( x^2-y^2-x+y ))
= 112 . ( x-y-x+y)
`@` `\text {Ans}`
`\downarrow`
`x^2 - 8xy + 7y^2`
`= x^2 - xy - 7xy + 7y^2`
`= (x^2 - xy) - (7xy - 7y^2)`
`= x(x - y) - 7y(x - y)`
`= (x - 7y)(x - y)`
___
`x^2 - 9xy + 14y^2`
`= x^2 - 2xy - 7xy + 14y^2`
`= (x^2 - 2xy) - (7xy - 14y^2)`
`= x(x - 2y) - 7y(x - 2y)`
`= (x - 7y)(x - 2y)`
___
`x^2 - 11xy + 18y^2`
`= x^2 - 2xy - 9xy + 18y^2`
`= (x^2 - 2xy) - (9xy - 18y^2)`
`= x(x - 2y) - 9y(x - 2y)`
`= (x - 9y)(x - 2y)`
a: =x^2-xy-7xy+7y^2
=x(x-y)-7y(x-y)
=(x-y)(x-7y)
b: =x^2-2xy-7xy+14y^2
=x(x-2y)-7y(x-2y)
=(x-2y)(x-7y)
c: =x^2-2xy-9xy+18y^2
=x(x-2y)-9y(x-2y)
=(x-2y)(x-9y)