\(=\dfrac{5x^6-3x^3+x^2}{9x^4}=\dfrac{5}{9}x^2-\dfrac{1}{3x}+\dfrac{1}{9x^2}\)
\(=\dfrac{5x^6-3x^3+x^2}{9x^4}=\dfrac{5}{9}x^2-\dfrac{1}{3x}+\dfrac{1}{9x^2}\)
Bài `1`: Rút gọn các biểu thức sau:
\(a)4x^2\left(5x^2+3\right)-6x\left(3x^3-2x+1\right)-5x^3\left(2x-1\right)\)
\(b)\dfrac{3}{2}x\left(x^2-\dfrac{2}{3}x+2\right)-\dfrac{5}{3}x^2\left(x+\dfrac{6}{5}\right)\)
Bài `2`: Thực hiện các phép nhân sau:
\(a)\left(x^2-x\right)\cdot\left(2x^2-x-10\right)\)
\(b)\left(0,2x^2-3x\right)\cdot5\left(x^2-7x+3\right)\)
\(c)6x^2\cdot\left(2x^3-3x^2+5x-4\right)\)
\(d)\left(-1,2x^2\right)\cdot\left(2,5x^4-2x^3+x^2-1,5\right)\)
Tìm x biết
1) \(\left(2x+3\right)\left(x-4\right)+\left(x-5\right)\left(x-2\right)=\left(3x-5\right)\left(x-4\right)\)
2)\(\left(8x-3\right)\left(3x+2\right)-\left(4x+7\right)\left(x+4\right)=\left(2x+1\right)\left(5x+1\right)-33\)
3)\(6x\left(3x+5\right)-2x\left(9x-2\right)+\left(17-x\right)\left(x-1\right)+x\left(x-18\right)-17x^2=0\)
4)\(\left(x-1\right)\left(x+2\right)-\left(x-3\right)+5x-7=0\)
Giúp mình nha. Camon nhiều
Các đa thức sau có phụ thuộc vào biến không?
\(M\left(x\right)=3\left(2x-1\right)-5\left(x-3\right)+6\left(3x-4\right)-19x\)
\(A=\left(3x-6y\right)\left(x^2+2xy+4y^2\right)-3\left(x^3-8y^3+10\right)\)
\(C=\left(x-1\right)\left(x-2\right)+\left(x-3\right)\left(x+4\right)-\left(2x^2+5x-34\right)\)
Giúp mình nhé. Camon nhiều
thực hiện phép tính
a) A = \(\left(\frac{3}{2}xyz\right)\). \(\left(\frac{-4}{6}x^2yz^2\right)\)
b) B = \(\left(\frac{1}{2}xyz\right)\). \(\left(2x^2yz\right)^2\)
c) C= (-5x2y + 3xy2 + 7) + (-6x2y + 4xy2 - 5)
d) D= (3x + y - z) - (4x - 3y +6z)
e) E = 2x.(-3+5) + 2x.(2x-12) + 26x
Tìm x biết:
a) \(\left|5x-4\right|=\left|x+2\right|\)
b) \(\left|2+3x\right|=\left|4x-3\right|\)
c) \(\left|2x-3\right|-\left|3x+2\right|=0\)
1 Tìm x:
( \(3x-2\frac{1}{3}\)):( \(3\frac{1}{4}-5\frac{2}{3}+1\frac{4}{5}\)) = \(2-1\frac{1}{3}x\)
2. Tìm x:
\(\frac{x+\frac{2\left(3-x\right)}{5}}{14}-\frac{5x-4\left(x-1\right)}{24}=\frac{7x+2+\frac{9-3x}{5}}{12}+\frac{2}{3}\)
3. Tìm x:
\(\left(1+3x\right)^2-3x\left(2x+6\right)=\left(4-3x\right)\left(x+3\right)-\left(2x-1\right)^2\)
a,\(\left|x+2\right|=\left|-3x+1\right|\)
b,\(\left|x-1,5\right|-\left|3x+2\right|=0\)
c,\(\left|-2+5x\right|=\left|-x^2-2\right|\)
Không thực hiện phép tính chia, tìm đa thức dư trong phép chia
\(\left(x^{10}+x^9+x^8+...+x+1\right):\left(x^2-1\right)\)
\(5x-9=5+3x;2^3+0,5x=1,5;\left(5x+1\right)^2=\dfrac{36}{49};\left(\dfrac{-3}{81}\right)^x=-27;2^{x-1}=16\)