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a) 8x2 + 4xy - 2ax - ay = (8x2 + 4xy) - (2ax + ay) = 4x(2x + y) - a(2x + y) = (4x - a)(2x + y)
b) 2xy - x2 - y2 = 16 - (-2xy + x2 + y2) = 42 - (x - y)2 = (4 - x + y)(4 + x - y)
c) x2 - y2 - 2yz - z2 = x2 - (y2 + 2yz + z2) = z2 - (y + z)2 = (z - y - z)(z + y + z)
\(-8x^2y^2-12xy^3-4xy^2\)
\(=-8x^2y^2-8xy^3-4xy^3-4xy\)
\(=-8xy\left(xy-y^2\right)-4xy\left(y^2-1\right)\)
\(=-8xy\left(y\left(x-y\right)\right)-4xy\left(y-1\right)\left(y+1\right)\)
\(=-4.2xy\left(y\left(x-y\right)\right)-4xy\left(y-1\right)\left(y+1\right)\)
\(=-4\left(2xy\left(y\left(x-y\right)\right)-xy\left(y-1\right)\left(y+1\right)\right)\)
Vậy thôi thành nhân tử là dc rồi
Ủng hộ nha
Thanks
Ta có: \(2ax^3+6ax^2+6ax+18a\)
\(=2\left[\left(ax^3+3ax^2\right)+\left(3ax+9a\right)\right]\)
\(=2a\left[x^2\left(x+3\right)+3\left(x+3\right)\right]\)
\(=2a\left(x+3\right)\left(x^2+3\right)\)
2ax3 + 6ax2 + 6ax + 18a
= 2a( x3 + 3x2 + 3x + 9 )
= 2a[ ( x3 + 3x2 ) + ( 3x + 9 ) ]
= 2a[ x2( x + 3 ) + 3( x + 3 ) ]
= 2a( x + 3 )( x2 + 3 )
\(ax^2+a-axy+2ax-ay\)
\(a\left(x^2+2x+1\right)-ay\left(x+1\right)\)
\(a\left(x+1\right)^2-ay\left(x+1\right)\)
\(\left(x+1\right)\left[a\left(x+1\right)-ay\right]\)
\(\left(x+1\right)\left(ax+a-ay\right)\)
\(a\left(x+1\right)\left(x+1-y\right)\)
a. 2x-1-x2= -(x2-2x+1)=-(x-1)2
b. 8x3+y6=(2x)3+(y2)3
=(2x+y2)(4x2-2xy2+y4)
c. x2-16+4xy+4y2=(x2+4xy+4y2)-16
=(x+2y)2-16=(x+2y+4)(x+2y-4)
a) x2 + 6x + 9 = x2 + 2 . x . 3 + 32 = (x + 3)2
b) 10x – 25 – x2 = -(-10x + 25 +x2) = -(25 – 10x + x2)
= -(52 – 2 . 5 . x – x2) = -(5 – x)2
c) 8x3 - 1/8 = (2x)3 – (1/2)3 = (2x - 1/2)[(2x)2 + 2x . 12 + (1/2)2]
= (2x - 1/2)(4x2 + x + 1/4)
d)1/25x2 – 64y2 = (1/5x)2(1/5x)2- (8y)2 = (1/5x + 8y)(1/5x - 8y)
=x(9x^2-4y^2+4y-1)
=x(9x^2-(2y-1)^2)
=x(3x-2y+1)(3x+2y-1)
a) 2x^2 - 2xy - 5x +5y
= (2x^2 - 2xy ) - ( 5x- 5 y)
=2x(x-y) - 5(x-y)
=(x- y). (2x- 5)
b)8x2 +4xy-2ax-ay
=(8x2 +4xy) -(2ax+ay)
=4x(2x+y)-a(2x+y)
=(2x+y).(4x-a)
c)=x(x2 -4x +4)
=x(x-2)2
d)=16- (x2 -2xy +y^2)
=4^2-(x-y)^2
=(4-x+y).(4+x-y)
các câu còn lại tg tự
chúc bn hok tốt
= (8x^2-2ax) + (4xy-ay)
= 2x.(4x-a) + y.(4x-a) = (2x+y).(4x-a)
k mk nha
=(8X2+4XY)-(2AX+AY)
=4X(2X+Y)-A(2X+Y)
=(2X+Y)(4X-A)