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a) =\(\left(x+1\right)\left(y-2\right)+\left(y-2\right)=\left(y-2\right)\left(x+2\right)\)
b) =\(\left(x-5\right)^3-2y\left(x-5\right)^2=\left(x-5\right)^2\left(x-5-2y\right)\)
a) x4 + x2 - 27x - 9
= (x4 - 27x) + x2 - 9
= x(x3 - 27) + (x - 3)(x + 3)
= x(x - 3)(x2 + 3x + 9) + (x - 3)(x + 3)
= (x - 3)(x3 + 3x2 + 9x + x + 3)
= (x - 3)(x3 + 3x2 + 10x + 3)
b) x2 - xy - x + y
= x(x - y) - (x - y)
= (x - 1)(x - y)
c) xy + 4 - x2 + 2y
= (xy + 2y) - (x2 - 4)
= y(x + 2) - (x - 2)(x + 2)
= (x + 2)(y - x + 2)
d) xy + y - 2(x + 1)
= y(x + 1) - 2(x + 1)
= (y - 2)(x + 1)
a) x2-y2-2(x+y)
=(x+y)(x-y)-2(x+y)
=(x+y)(x-y-2)
b)3x2-3y2-2(x-y)2
=3.(x2-y2)-2(x-y)2
=3(x-y)(x+y)-2(x-y)2
=(x-y)[3(x+y)-2(x-y)]
=(x-y)(3x+3y-2x+2y)
=(x-y)(x+5y)
c)x2(x+2y)-x-2y
=x2(x+2y)-(x+2y)
=(x+2y)(x2-1)
=(x+2y)(x+1)(x-1)
a) \(y^2+2y^2-3y=y.y+y.2y-y.3\)
\(=y\left(y+2y-3\right)\)
b) \(2x^4-x^3+2x^2+1=2x^2.x^2-x^2.x+2x.x^2+1\)
\(=x^2\left(2x^2-x+2x\right)+1=x^2.x\left(2x-1+2\right)+1\)
k mình nha
a. y2+2y2-3y
=y(y+2y-3)
b. 2x4-x3+2x2+1
=2x2(x2+1)-(x3-1)
=2x2(x+1)(x-1)-(x-1)(x2+x+1)
=(x-1)[2x2(x+1)-(x2+x+1)]
=(x-1)(2x3+2x2-x2-x-1)
=(x-1)(2x3+x2-x-1)
1, x2(x2+2x+1)=x2(x+1)2
2, 2(x2+2x+1-y2)=2(x+1-y)(x+1+y)
3, 16-(x2+2xy+y2)=(4-x-y)(4+x+y)
\(x^4+2x^3+x^2\)
\(=x^2\left(x^2+2x+1\right)\)
\(=x^2\left(x+1\right)^2\)
hk tốt
^^
a) \(2x\left(x-3\right)^2+5x\left(3-x\right)\)
\(=2x\left(x-3\right)^2-5x\left(x-3\right)\)
\(=\left(x-3\right)\left[2x\left(x-3\right)-5x\right]\)
\(=\left(x-3\right)\left(2x^2-6x-5x\right)\)
\(=\left(x-3\right)\left(2x^2-11x\right)\)
\(=x\left(x-3\right)\left(2x-11\right)\)
b) \(\left(x+3\right)^2-4\left(y^2-2y+1\right)\)
\(=\left(x+3\right)^2-2^2\left(y-1\right)^2\)
\(=\left(x+3\right)^2-\left[2\left(y-1\right)\right]^2\)
\(=\left[\left(x+3\right)-2\left(y-1\right)\right]\left[\left(x+3\right)+2\left(y-1\right)\right]\)
\(=\left(x+3-2y+2\right)\left(x+3+2y-2\right)\)
\(=\left(x-2y+5\right)\left(x+2y+1\right)\)
a) \(2x.\left(x-3\right)^2+5x.\left(-x+3\right)=2x.\left(x-3\right)^2-5x.\left(x-3\right)\)
\(=\left(x-3\right).\left(2x^2-11x\right)=\left(x-3\right).x.\left(2x-11\right)\)
b) \(\left(x+3\right)^2-4.\left(y^2-2y+1\right)=\left(x+3\right)^2-2^2.\left(y-1\right)^2\)
\(=\left(x+3\right)^2-\left[2.\left(y-1\right)\right]^2=\left(x-2y+1\right).\left(x+2y+5\right)\)
a) 2x - 2y - x2 + 2xy - y2
Ta có:2.(x-y)-(x2-2xy+y2)
=2.(x-y)-(x-y)2
=2.(x-y)-(x-y)(x-y)
=(x-y)[2-(x-y)]
b)x4-2x2
Ta có:x4-2x2
=x2.(x2-2)
=x2.(x2-\(\left(\sqrt{2}\right)^2\))
=x2.(x-\(\sqrt{2}\))(x+\(\sqrt{2}\))
c)x4+4
Ta có:x4+4
=(x2)2+22+2.x2.2-4x2
=(x2+2)2-(2x)2
=(x2+2+2x)(x2+2-2x)
\(a.=\left(1-y\right)^2\)
Học tốt
_Mon_
a) (1 - y)^2
b) x^2- 4x + 16 - (x^2 - 4)-6
= x^2 - x^2 -4x + 16 + 4 - 6
= -4x +12
=-4(x - 3)
chúc bn hc tốt