Bài 1: Tìm Q
x2y−8xy2−1,5x2y2+1+Q=−3xy2+3,5x2y−5x2y−9
Hãy nhập câu hỏi của bạn vào đây, nếu là tài khoản VIP, bạn sẽ được ưu tiên trả lời.
a. \(25xy^2.-\dfrac{1}{5}xy^3=-5x^2y^5\) -Bậc: 7
b.\(-5x^2y^2.3xy^2z=-15x^3y^4z\) - Bậc: 8
c.\(12xy^2.4xyz=48x^2y^3z\) - Bậc: 6
d. \(-5x^2yz^2.2x^2z=-10x^4yz^3\) ; Bậc: 8
a, \(=-5x^2y^5\)bậc 8
b, \(=-15x^3y^4z\)bậc 8
c, \(=2x^3y^3z\)bậc 7
d, \(=-10x^4yz^3\)bậc 8
a/ 5x2y (x2y– 4xy2 + 7xy)
`=5x^4y^2-20x^3y^3+35x^3y^2`
b/ 3xy2 (x2y3 + x 2y – xy2 )
`=3x^3y^5+3x^3y^3-3x^2y^4`
c/ 3x(12x2 + 4x – 5) + 2x(9x2 – 6x + 7)
`=36x^3+12x^2-15x+18x^3-18x^2+14x`
`=54x^3-6x^2-x`
d/ 5x(2x2 – 9x – 5) – 9x (x2 - 7x – 4)
`=10x^3-45x^2-25x-9x^3+63x^2+36x`
`=x^3+18x^2+11x`
d) \(4x^2y^2-8xy^2+4y^2=4y^2\left(x^2-2x+1\right)=4y^2\left(x-1\right)^2\)
e) \(x^3y+10x^2y+35xy=xy\left(x^2+10x+35\right)\)
f) \(2x^3-4x^2y+2xy^2-8x=2x\left(x^2-2xy+y^2-4\right)=2x\left[\left(x-y\right)^2-4\right]=2x\left(x-y-2\right)\left(x-y+2\right)\)
g) \(3x^2-9xy-6x+18y=3x\left(x-3y\right)-6\left(x-3y\right)=3\left(x-3y\right)\left(x-2\right)\)
h) \(x^2y^2-3xy^2+2xy-6y=xy\left(xy+2\right)-3y\left(xy+2\right)=\left(xy+2\right)\left(xy-3y\right)=y\left(xy+2\right)\left(x-3\right)\)
d: \(4x^2y^2-8xy^2+4y^2\)
\(=4y^2\left(x^2-2x+1\right)\)
\(=4y^2\left(x-1\right)^2\)
e: \(x^3y+10x^2y+35xy\)
\(=xy\left(x^2+10x+35\right)\)
f: \(2x^3-4x^2y+2xy^2-8x\)
\(=2x\left(x^2-2xy+y^2-4\right)\)
\(=2x\left(x-y-2\right)\left(x-y+2\right)\)
a, 2xy^2 ( x^3 -3xy - 4 )
b, x^2 - 4x - 4x +16
= x(x-4) - 4(x-4)
= (x-4) (x-4)
a: \(4x^3-xy^2\)
\(=x\left(4x^2-y^2\right)\)
\(=x\left(2x-y\right)\left(2x+y\right)\)
b: \(5x^3-10x^2+5x\)
\(=5x\left(x^2-2x+1\right)\)
\(=5x\left(x-1\right)^2\)
c: \(4x^2+24x+36-4y^2\)
\(=4\left(x^2+6x+9-y^2\right)\)
\(=4\left(x+3-y\right)\left(x+3+y\right)\)
a) 20x - 5y
= 5(4x - y)
b) 5x(x - 1)- 3x(x - 1)
= 2x(x - 1)
c) x(x + y) - 6x - 6y
= x(x + y) - (6x + 6y)
= x(x + y) - 6(x + y)
= (x + y)(x - 6)
d) 6x³ - 9x²
= 3x²(2x - 3)
e) 4x²y - 8xy² + 10x²y²
= 2xy(2x - 4y + 5xy)
g) 20x²y - 12x³
= 4x²(5y - 3x)
h) 8x⁴ + 12x²y⁴ - 16x³y⁴
= 4x²(2x² + 3y⁴ - 4xy⁴)
k) 4xy² + 8xyz
= 4xy(y + 2z)