Thực hiện phép tính
\(\left[5\left(2y-x\right)^4+\left(x-2y\right)^2+2y-x\right]:\left(x-2y\right)\)
\(\left[5\left(2y-x\right)^4+\left(x-2y\right)^2+2y-x\right]:\left(x-2y\right)\)
Thực hiện phép tính
\(\dfrac{5\cdot\left(2y-x\right)^4+\left(2y-x\right)^2+\left(2y-x\right)}{x-2y}=\dfrac{5\cdot\left(x-2y\right)^4+\left(x-2y\right)^2-\left(x-2y\right)}{x-2y}=5\cdot\left(x-2y\right)^3+\left(x-2y\right)-1.\)
Khi hàm số \(\left(ax-by\right)^n\) với n là số chẵn thì ax và by có thể đổi chỗ cho nhau nhưng không thay đổi kết quả
Thực hiện các phép nhân:
a) \(\left( {4 - x} \right)\left( {4 + x} \right)\) b) \(\left( {2y + 7z} \right)\left( {2y - 7z} \right)\) c) \(\left( {x + 2{y^2}} \right)\left( {x - 2{y^2}} \right)\)
`a, (4-x)(4+x) = 16 - x^2`
`b, (2y+7z)(2y-7z) = 4y^2 - 49z^2`
`c, (x+2y^2)(x-2y^2)`
`= x^2 - 4y^4`
thực hiện phép tính:
a,\(\left(9x^2y^3-15x^4y^4\right):3x^2y-\left(2-3x^2y\right)y^2\)
b,\(\left(6x^2-xy\right):x+\left(2x^3y+3xy^2\right):xy-\left(2x-1\right)x\)
c,\(\left(x^2-xy\right):x-+\left(6x^2y^5-9x^3y^4+15x^4y^2\right):\dfrac{3}{2}x^2y^3\)
Thực hiện phép tính:
a) \(\dfrac{2}{5}xy\left(x^2y-5x+10y\right)\)
b) \(\left(x^2-1\right)\left(x^2+2x+y\right)\)
c) \(\left(x+3y\right)^2\)
d) \(\left(4x-y\right)^3\)
e) \(\left(x^2-2y\right)\left(x^2+2y\right)\)
g) \(18x^4y^2z:10x^4y\)
h) \(\left(x^3y^3+\dfrac{1}{2}x^2y^3-x^3y^2\right):\dfrac{1}{3}x^2y^2\)
i) \(\left(6x^3-7x^2-x+2\right):\left(2x+1\right)\)
k) \(\dfrac{5x-1}{3x^2y}+\dfrac{x+1}{3x^2y}\)
l) \(\dfrac{3x+1}{x^2-3x+1}+\dfrac{x^2-6x}{x^2-3x+1}\)
m) \(\dfrac{2x+3}{10x-4}+\dfrac{5-3x}{4-10x}\)
n) \(\dfrac{x}{x^2+2x+1}+\dfrac{3}{5x^2-5}\)
o) \(\dfrac{x^2+2}{x^3-1}+\dfrac{2}{x^2+x+1}+\dfrac{1}{1-x}\)
p) \(\dfrac{4x+2}{15x^3y}\dfrac{5y-3}{9x^2y}+\dfrac{x+1}{5xy^3}\)
q) \(\dfrac{2x-7}{10x-4}-\dfrac{3x+5}{4-10x}\)
r) \(\dfrac{3}{2x+6}-\dfrac{x-6}{2x^2+6x}\)
x) \(\dfrac{4y^2}{11x^4}.\left(-\dfrac{3x^2}{8y}\right)\)
y) \(\dfrac{x^2-4}{3x+12}.\dfrac{x+4}{2x-4}\)
z) \(\left(x^2-25\right):\dfrac{2x+10}{3x-7}\)
t) \(\left(\dfrac{2x+1}{2x-1}-\dfrac{2x-1}{2x+1}\right):\dfrac{4x}{10x-5}\)
w) \(\left(\dfrac{1}{x^2+x}-\dfrac{2-x}{x+1}\right):\left(\dfrac{1}{x}+x-2\right)\)
c: \(=x^2+6xy+9y^2\)
e: \(=x^4-4y^2\)
Thực hiện phép tính sau
a)\(\left(x^2y^2-\frac{1}{2}xy+2y\right)\left(x-2y\right)\)
b)\(\left(x^2-xy+y^2\right)\left(x+y\right)\)
a) biết chết liền
b) \(\left(x^2-xy+y^2\right)\left(x+y\right)=x^3+y^3\)
BT10: Thực hiện phép tính
\(a,-xyz^2\)\(-3xz.yz\)
\(b,-8x^2\)\(y-x.\left(xy\right)\)
\(c,4xy^2\) \(.x-\left(-12x^2y^2\right)\)
\(d,\dfrac{1}{2}x^2y^3-\dfrac{1}{3}x^2y.y^2\)
\(e,3xy\left(x^2y\right)-\dfrac{5}{6}x^3y^2\)
\(f,\dfrac{3}{4}x^4y-\dfrac{1}{6}xy.x^3\)
a: =-4xyz^2
b: =-9x^2y
c: =16x^2y^2
d: =1/6x^2y^3
e: =13/6x^3y^2
f: =7/12x^4y
a) -xyz² - 3xz.yz
= -xyz² - 3xyz²
= -4xyz²
b) -8x²y - x.(xy)
= -8x²y - x²y
= -9x²y
c) 4xy².x - (-12x²y²)
= 4x²y² + 12x²y²
= 16x²y²
d) 1/2 x²y³ - 1/3 x²y.y²
= 1/2 x²y³ - 1/3 x²y³
= 1/6 x²y³
e) 3xy(x²y) - 5/6 x³y²
= 3x³y² - 5/6 x³y²
= 13/6 x³y²
f) 3/4 x⁴y - 1/6 xy.x³
= 3/4 x⁴y - 1/6 x⁴y
= 7/12 x⁴y
thực hiện phép tính
a, \(3x^2y\left(2x^2-xy+5y^2\right)\)
b, \(\left(x+2\right)\left(x^2+3x-4\right)\)
a: \(3x^2y\left(2x^2-xy+5y^2\right)=6x^4y-3x^3y^2+15x^2y^3\)
b: \(\left(x+2\right)\left(x^2+3x-4\right)\)
\(=x^3+3x^2-4x+2x^2+6x-8\)
\(=x^3+5x^2+2x-8\)
thực hiện phép tính:
\(\left(x^2y^2-\frac{1}{2}xy+2y\right).\left(x-2y\right)\)
Thực hiện phép tính
\(\left(x^2y-\frac{1}{2}xy+y^2\right).\left(x-\frac{1}{2}y\right)-x^2y\left(x-\frac{1}{2}\right)\)