1: \(4xy\left(x^2-2xy+3y^2\right)=4x^3y-8x^2y^2+12xy^3\)
2: \(\left(x^2-2\right)\left(x^4+2x^2+4\right)=x^6-8\)
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Thực hiện phép tính:
a) \(3x.\left(2x^2-3x+4\right)\)
b) \(\left(x+3\right)^2+\left(3x-2\right)\left(x+4\right)\)
c) \(\dfrac{2x-4}{x-1}+\dfrac{2x+2}{x^2-1}\)
BT10: Thực hiện phép tínha,-xyz^2-3xz.yzb,-8x^2y-x.left(xyright)c,4xy^2 .x-left(-12x^2y^2right)d,dfrac{1}{2}x^2y^3-dfrac{1}{3}x^2y.y^2e,3xyleft(x^2yright)-dfrac{5}{6}x^3y^2f,dfrac{3}{4}x^4y-dfrac{1}{6}xy.x^3
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BT10: Thực hiện phép tính
\(a,-xyz^2\)\(-3xz.yz\)
\(b,-8x^2\)\(y-x.\left(xy\right)\)
\(c,4xy^2\) \(.x-\left(-12x^2y^2\right)\)
\(d,\dfrac{1}{2}x^2y^3-\dfrac{1}{3}x^2y.y^2\)
\(e,3xy\left(x^2y\right)-\dfrac{5}{6}x^3y^2\)
\(f,\dfrac{3}{4}x^4y-\dfrac{1}{6}xy.x^3\)
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, \(A=\left(3x^2y-11x^2-5y\right)\left(8xy-5x+6\right)\)
b,\(B=\left(-4x^2y-5x^2+3y^2\right)\left(2x^2-xy+3y^2\right)\)
c,\(C=5\left(2x-1\right)^2+4\left(x-1\right)\left(x+3\right)-2\left(3x-1\right)\left(3x+1\right)\)
Bài 2 . Thực hiện phép tính
a)\(6x^3\)\(\left(\dfrac{1}{3}x^2-\dfrac{5}{2}-\dfrac{1}{6}\right)\)\(-2x^5\)\(-x^3\)
b)\(\left(x-3\right)\left(x^2+3x-2\right)\)
c)\(\left(4x^3-4x^2-5x+4\right):\left(2x+1\right)\)
Thực hiện phép tính:a) dfrac{2}{5}xyleft(x^2y-5x+10yright)b) left(x^2-1right)left(x^2+2x+yright)c) left(x+3yright)^2d) left(4x-yright)^3e) left(x^2-2yright)left(x^2+2yright)g) 18x^4y^2z:10x^4yh) left(x^3y^3+dfrac{1}{2}x^2y^3-x^3y^2right):dfrac{1}{3}x^2y^2i) left(6x^3-7x^2-x+2right):left(2x+1right)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...
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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) \(\left(\dfrac{1}{x^2+x}-\dfrac{2-x}{x+1}\right):\left(\dfrac{1}{x}+x-2\right)\)
thực hiện phép tính
a, \(3x^2y\left(2x^2-xy+5y^2\right)\)
b, \(\left(x+2\right)\left(x^2+3x-4\right)\)
Thực hiện phép tính:
\(a,\left(2x^3+y^2-7xy\right).4xy^2\)
\(b,\left(2x^3-x-1\right)\left(5x-2\right)\)
\(c,\left(2x^2-3\right)\left(4x^4+6x^2+9\right)\)
\(d,\left(3x^2-2y\right)^3-\left(2x^2-y\right)^3\)
câu 1. Thực hiện phép tính
a) \(\left(x^4-x-14\right):\left(x-2\right)\)
b) \(\left(\frac{1}{2}x-\frac{1}{2x}\right)^2\)
câu 2. phân tích đa thức thành nhân tử
a) \(9\left(x+y-1\right)^2-4\left(2x+3y+1\right)^2\)
b) \(x^3-4x^2-9x+36\)
c) \(3x^2-3y^2-2\left(x-y\right)^2\)