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a) 3x - 3y
= 3 ( x- y )
b) 2x^2 + 5x^3 + x^2y
= x^2 ( 2+ 5x + y)
c) 14x^2 --21xy^2 + 28x^2y^2
= 7x ( 2x - 3y^2 + 4xy^2)
d) 4x^3 - 14x^2
= x^2 ( 4x - 14 )
e) 5y^10 + 15y^6
= 5y^6 (y^4 + 3 )
f) 9x^2y^2 + 15x^2y -21xy
= 3xy( 3xy + 5x - 7)
g) x( y-1 ) - y ((y-1)
=(y -1) (x-y)
4) \(3x^2\left(x+1\right)-2\left(x+1\right)=\left(x+1\right)\left(3x^2-2\right)\)
5) \(\left(a+b+c\right)^2-\left(ab+bc+ca\right)\left(a+b+c\right)+\left(a+b+c\right)\)
\(=\left(a+b+c\right)\left(a+b+c-ab-bc-ca+1\right)\)
6) \(4x^2\left(x-2y\right)-20x\left(2y-x\right)=4x^2\left(x-2y\right)+20x\left(x-2y\right)=4x\left(x-2y\right)\left(x+5\right)\)
7) \(3x^2y^2\left(a-b+c\right)+2xy\left(b-a-c\right)=3x^2y^2\left(a-b+c\right)-2xy\left(a-b+c\right)\\ =xy\left(a-b+c\right)\left(3xy+2\right)\)
Bài2: phân tích đa thức thành nhân tử
\(a,x^2-y^2-2x+2y\)
\(=\left(x-y\right)\left(y+x-2\right)\)
\(b,x^3-5x^2+x-5\)
\(=x^2\left(x-5\right)+\left(x-5\right)\)
\(=\left(x+x-5\right)\left(x-x-5\right)\)
\(c,x^2-2xy+y^2-9\)
\(=\left(x^2-y^2\right)-3^2\)
\(=\left(x-y+3\right)\left(x-y-3\right)\)
chúc bạn học tốt !
a) A = (3x - 5)(2x + 11) - (2x + 3)(3x + 7)
A = 6x^2 + 33x - 10x - 55 - 6x^2 - 23x - 21
A = -76
b) B = 4x(3x - 2) - 3x(4x + 1)
B = 12x^2 - 8x - 12x^2 - 3x
B = -11x
c) C = (x + 3)(x - 2) - (x - 1)^2
C = x^2 + x - 6 - x^2 + 2x - 1
C = 3x - 7
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,\(xy+3x-7y-21\)
\(=x\left(y+3\right)-7\left(y+3\right)\)
\(=\left(y+3\right)\left(x-7\right)\)
\(b,2xy-15-6x+5y\)
\(=\left(2xy-6x\right)+\left(-15+5y\right)\)
\(=2x\left(y-3\right)-5\left(3-y\right)\)
\(=2x\left(y-3\right)+5\left(y-3\right)\)
\(=\left(y-3\right)\left(2x+5\right)\)
1: \(=2x^2\left(7x-2\right)\)
2: \(=5y^6\left(y^4+3\right)\)
3: \(=3xy\left(3xy-5x-7y\right)\)
4: \(=\left(x+1\right)\left(3x^2-2\right)\)
5: \(=\left(a+b+c\right)\left(a+b+c-ab-bc-ca-1\right)\)
6: \(=4x^2\left(x-2y\right)+20x\left(x-2y\right)\)
\(=4x\left(x-2y\right)\left(x+5\right)\)
7: \(=3x^2y\left(a-b+c\right)-2xy\left(a-b+c\right)\)
\(=xy\left(a-b+c\right)\left(3x-2\right)\)