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\(3x^2-5x+2=3x^2-3x-2x+2=3x\left(x-1\right)-2\left(x-1\right)=\left(3x-2\right)\left(x-1\right)\)
b.)x^4+5x^3+15x-9
=x^4-9+5x^3+15x
=(x^2-3)(x^2+3)+5x(x^2+3)
=(x^2+3)(x^2-3+5x)
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)
a) 15x2 + 10x = 5x ( 3x +2 )
b) x2 - y2 +2x -2y
= (x-y) (x+y) + 2(x-y)
= (x - y) ( x + y + 2)
c) 3x2 + 6xy + 3y2 -12 z2
= 3 ( x2 +2xy+y2) -12z2
= 3 (x+y)2 - 12 z2
= 3 [(x+y)2 - 4z2 ]
= 3( x + y - 2z )( x + y + 2z)
d) x2 - 5 -6 = x2 -11
= (x - √11)(x+√11)
a, \(15x^2+10x=5x\left(3x+2\right)\)
b, \(x^2-y^2+2x-2y=\left(x-y\right)\left(x+y\right)+2\left(x-y\right)\)
\(=\left(x-y\right)\left(x+y+2\right)\)
c, \(3x^2+6xy+3y^2-12z^2\)
\(=3\left(x^2+2xy+y^2-4z^2\right)\)
\(=3\left[\left(x+y\right)^2-\left(2z\right)^2\right]=3\left(x+y-2z\right)\left(x+y+2z\right)\)
d, \(x^2-5x-6=x^2-6x+x-6=x\left(x+1\right)-6\left(x+1\right)=\left(x-6\right)\left(x+1\right)\)
a) \(x^2-x=\left(x+1\right).x\)
b) \(5x^2.\left(x-2y\right)-15x.\left(x-2y\right)=\left(x-2y\right).\left(5x^2-15x\right)\)= \(\left(x-2y\right).5x.\left(x-3\right)\)
c) \(3.\left(x-y\right)-5x.\left(y-x\right)=3\left(x-y\right)+5x\left(x-y\right)\)= \(\left(x-y\right).\left(3+5x\right)\)
a) \(x^2-x=x\left(x-1\right)\)
b) \(5x^2\left(x-2y\right)-15x\left(x-2y\right)\)\(=\left(x-2y\right)\left(5x^2-15x\right)\)\(=\left(x-2y\right).5x\left(x-3\right)\)
c) \(3\left(x-y\right)-5x\left(y-x\right)\)\(=3\left(x-y\right)+5x\left(x-y\right)\)\(=\left(3+5x\right)\left(x-y\right)\)
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thấy đúng thì k nha
a) \(6x^2-x-1\)
\(=6x^2-3x+2x-1\)
\(=3x\left(2x-1\right)+\left(2x-1\right)\)
\(=\left(3x+1\right)\left(2x-1\right)\)
a/ \(=5x\left(x^2-2x+3\right)\)
b/ \(=\left(x^2-2x\right)-\left(x-2\right)=x\left(x-2\right)-\left(x-2\right)=\left(x-1\right)\left(x-2\right)\)
a) \(5x^3-10x^2+15x=5x\left(x^2-2x+3\right)\)
b) \(x^2-3x+2=x\left(x-1\right)-2\left(x-1\right)=\left(x-1\right)\left(x-2\right)\)