Ta có:\(x^3y^5+3x^3y^5+5x^3y^5+...+\left(2k-1\right)x^3y^5=3249x^3y^5\)
\(x^3y^5\left(1+3+5+...+2k-1\right)=3249x^3y^5\)
\(\Rightarrow1+3+5+...+2k-1=3249\)
\(\Rightarrow\frac{\left(\frac{2k-1-1}{2}+1\right).\left(2k-1+1\right)}{2}=3249\)
\(\Rightarrow\frac{k.2k}{2}=3249\)
\(\Rightarrow k^2=3249\)
\(\Rightarrow k=57\) hoặc k=-57
tìm k thuộc N biết x^3y^5 + 3x^3y^5 + 5x^3y^5+.......+(2k-1)x^3y^5=3249x^3y^5
Tìm k thuộc N biết: x^3y^5 + 3x^3y^5 + 5x^3y^5 + ... + (2k - 1)x^3y^5 = 3249x^3y
tìm x,y biết
\(\left|2x-5\right|+\left|3y+1\right|=0\)
\(\left|3x-4\right|+\left|3y-5\right|=0\)
\(|16-|x||+\left|5y-2\right|=0\)
\(\left|2x-5\right|+\left|xy-3y+2\right|=0\)
thực hiện các phép tính sau:
a,3x^2.(2x^3-x+5)=6x^5-3x^3+15x^2
b,(4xy+3y-5x)x^2y=4x^3y^2+3x^2y^2-5x^3y
thực hiện các phép tính sau:
a,3x^2.(2x^3-x+5)=6x^5-3x^3+15x^2
b,(4xy+3y-5x)x^2y=4x^3y^2+3x^2y^2-5x^3y
\(\frac{2x+1}{5}=\frac{3y-2}{7}=\frac{2x+3y-1}{6x}\left(2x+3y-1\ne0\right)\) Tìm x
Tìm x biết :
a) ( 2x - 5 | + | 3y + 1 | = 0
b) | 3x - 4 | + | 3y - 5 | = 0
c) | 2x - 5 | + | xy - 3y + 2 | = 0
Bài 1: Thu gọn
a) \(\frac{1}{5}x^4y^3-3x^4y^3\)
b) \(5x^2y^5-\frac{1}{4}x^2y^5\)
c) \(\frac{1}{7}x^2y^3.\left(-\frac{14}{3}xy^2\right)-\frac{1}{2}xy.\left(x^2y^{\text{4}}\right)\)
d) \(\left(3xy\right)^2.\left(-\frac{1}{2}x^3y^2\right)\)
e) \(-\frac{1}{4}xy^2+\frac{2}{5}x^2y+\frac{1}{2}xy^2-x^2y\)
f) \(\frac{1}{2}x^4y.\left(-\frac{2}{3}x^3y^2\right)-\frac{1}{3}x^7y^3\)
g) \(\frac{1}{2}x^2y.\left(-10x^3yz^2\right).\frac{1}{4}x^5y^3z\)
h) \(4.\left(-\frac{1}{2}x\right)^2-\frac{3}{2}x.\left(-x\right)+\frac{1}{3}x^2\)
i) \(1\frac{2}{3}x^3y.\left(\frac{-1}{2}xy^2\right)^2-\frac{5}{4}.\frac{8}{15}x^3y.\left(-\frac{1}{2}xy^2\right)^2\)
k) \(-\frac{3}{2}xy^2.\left(\frac{3}{4}x^2y\right)^2-\frac{3}{5}xy.\left(-\frac{1}{3}x^4y^3\right)+\left(-x^2y\right)^2.\left(xy\right)^2\)
n) \(-2\frac{1}{5}xy.\left(-5x\right)^2+\frac{3}{4}y.\frac{2}{3}\left(-x^3\right)-\frac{1}{9}.\left(-x\right)^3.\frac{1}{3}y\)
m) \(\left(-\frac{1}{3}xy^2\right)^2.\left(3x^2y\right)^3.\left(-\frac{5}{2}xy^2z^3\right)^{^2}\)
p) \(-2y.\left|2\right|x^4y^5.\left|-\frac{3}{4}\right|x^3y^2z\)
Tìm đa thức M , biết :
a) \(M-\left(\frac{1}{2}x^2y-5xy^2+x^3-y^3\right)=\frac{3}{4}xy^2-2x^2y+\)\(2y^3-\frac{1}{3}x^3\)
b)\(\left(-\frac{1}{3}x^3y^3+5x^2y^2-\frac{5}{2}xy\right)-M=xy-\frac{1}{6}x^3y^3-3x^2y^2\)
c)\(\left(\frac{2}{7}xy^4-5x^5+7x^2y^3-3\right)+M=0\)
