5x2y - 4xy2 +5x - 3 - xyz +4x2y - xy2 -5x +1/2
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Ta có:
C(x) = (5x2y - 4xy2 + 5x - 3) - (xyz - 4x2y + xy2 + 5x - 1)
= 5x2y - 4xy2 + 5x - 3 - xyz + 4x2y - xy2 - 5x + 1
= -xyz + 9x2y - 5xy2 - 2
Chọn C
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`
1: \(A=2x^3y^4-5x\cdot x^2y^4+xy^2\cdot x^2y^2=-2x^3y^4=-2\cdot\left(-1\right)^3\cdot\dfrac{1}{16}=\dfrac{1}{8}\)
2: \(B=9x^4y^6\cdot\left(-4xy\right)+19x^3y^5\cdot\left(-2\right)x^2y^2\)
\(=-36x^5y^7-38x^5y^7\)
\(=-74x^5y^7=-74\cdot\left(-1\right)^5\cdot2^7=9472\)
3: \(f\left(-1\right)=3\cdot\left(-1\right)^4+7\cdot\left(-1\right)^3+4\cdot\left(-1\right)^2-2\cdot\left(-1\right)-2=0\)
\(f\left(1\right)=3+7+4-2-2=10\)
a: ĐKXĐ: \(x\notin\left\{\dfrac{5}{2};-\dfrac{5}{2}\right\}\)
a) 20x-5y=5(4x-y)
b) 5x(x-1)-3x(x-1)=(5x-3x)(x-1)=2x(x-1)
c) x(x+y)-6x-6y=x(x+y)-(6x+6y)=x(x+y)-6(x+y)=(x-6)(x+y)
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)
l) 3x(x + 1) - 5y( x + 1 )=(x+1)(3x-5y)
m) 4x2-1=(2x-1)(2x+1)
o) 9-(x-y)2=(3-x+y)(3+x-y)
p) x3+27=(x+3)(x2+3x+9)
n) (x-y)2-4=(x-y-2)(x-y+2)
r) x4 + 2x2 + 1=(x4+x2)+(x2+1)=x2(x2+1)+(x2+1)=(x2+1)2
s) 4x2 - 12xy + 9y2 = (2x-3y)2
t) x2 - x - y2 - y =(x2-y2)-(x+y)=(x-y)(x+y)-(x+y)=(x+y)(x-y-1)
v) x3 - x + y3 - y = (x3+y3)-(x+y)=(x+y)(x2-xy+y2)-(x+y)=(x+y)(x2-xy+y2-1)
\(5x^2y-4xy^2+5x-3-xyz+4x^2y-xy^2-5x+\dfrac{1}{2}\\ =\left(5x^2y+4x^2y\right)-\left(4xy^2+xy^2\right)+\left(5x-5x\right)-xyz-\left(3-\dfrac{1}{2}\right)\\ =9x^2y-5xy^2-xyz+\dfrac{5}{2}\)