Cho hai don thuc P=-5x^n-2.y^3.z ; Q=2x^3.y^2.z . voi gia tri nao cua n thi thuong P:Qla mot don thuc
Các bạn ơi giúp mình nhanh đi !
tim tich cua hai don thuc sau:
2/3*x^2*y*z va -3*x*y^2
Ta có: \(\dfrac{2}{3}x^2yz\cdot\left(-3xy^2\right)\)
\(=\left(-\dfrac{2}{3}\cdot3\right)\cdot\left(x^2\cdot x\right)\cdot\left(y\cdot y^2\right)\cdot z\)
\(=-2x^3y^3z\)
`(2/3x^2.y.z).(-3x.y^2)`
`=-3.(2/3).x^2.y.z.x.y^2`
`=-1.x^{2+1}.y^{2+1}.z`
`=-x^3y^3z`
tim tich cua hai don thuc
-2*x^2*y^2*z va -1/3*x^2*y^3
\(\left(-2x^2y^2z\right).\left(-\dfrac{1}{3}x^2y^3\right)\)
\(=-2.x^2.y^2.z^2.\dfrac{-1}{3}.x^2.y^3\)
\(=\dfrac{2}{3}x^4y^5z^2\)
Ta có: \(-2x^2y^2z\cdot\dfrac{-1}{3}x^2y^3\)
\(=\left(-2\cdot\dfrac{-1}{3}\right)\cdot\left(x^2\cdot x^2\right)\cdot\left(y^2\cdot y^3\right)\cdot z\)
\(=\dfrac{2}{3}x^4y^5z\)
`(-2.x^2.y^2.z).(-1/3.x^2.y^3)`
`=-2/3.x^{2+2}.y^{2+3}.z`
`=-2/3x^4y^5x`
Cho don thuc A=(-2xy)-4/5x^2y^3 a,Thu gon don thuc tren ,cho biet phan he so va phan bien ,tim bac cua don thuc b,Tinh gia trim cua don thuc tai x=1,y=-1
a, P=-3(x^3.x)(y^2.y^3)
=-3x^4y^5
b, Thay x=-1 , y=2 vào đơn thức P . Ta có :
P=-3.(-1)^4.2^5
P=3.1.32
P=96
Cho don thuc A=(-2xy)-4/5x^2y^3 a,Thu gon don thuc tren ,cho biet phan he so va phan bien ,tim bac cua don thuc b,Tinh gia trim cua don thuc tai x=1,y=-1
(1) Xac dinh bac cua cac don thuc sau:
a) \(-\dfrac{3}{8}x^2yz\)
b) 5x
c) 0,26
d) -3y\(z^6\)
(2) Viet ba don thuc (mot bien, hai bien, ba bien) co bac 10
(1)
a)\(-\dfrac{3}{8}x^2yz\) \(\Rightarrow\)bậc là 2
b)5x \(\Rightarrow\)bậc là 1
c)0,26 =>bậc là 0
d)-3yz6 => bậc là 6
(2)
1 biến:5x10
2 biến:3x10y
3 biến:7xyz10
Cho 3 don thuc \(\frac{5}{3}x^2y^5z^3;\frac{-2}{5}x^3yzt^2;\frac{3}{7}x^{15}y^4z^2\)
Trong do cac bien x, y, z, t khac 0
Chung minh rang trong 3 don thuc da cho co it nhat 1 don thuc gia tri am.
cho các biểu thức 2xy2/z;3/2xy2(z+1);-1/x .y2z;6/7 xyz nhung bieu thuc nao la don thuc tai x,y la bien z la hang
cho 3 don thuc a=1/3x^3 y^2 z , b= -1/4x^2yz c=-1/5xyz^2
thu gon don thuc
(-x^3*z*y)*(2/3*y*x^2)^2
giup mk voi
\(\left(-x^3.z.y\right).\left(\dfrac{2}{3}.y.x^2\right)^2\)
\(=-x^3.z.y.\dfrac{4}{9}.y^2.x^4\)
\(=-\dfrac{4}{9}x^7.y^3.z\)
`(-x^3zy)(2/3yx^2)^2`
`=-4/9x^3zy.y^2x^4`
`=-4/9x^{3+4}.y^{1+2}z`
`=-4/9x^7y^3z`
\(\left(-x^3zy\right)\left(\dfrac{2}{3}yx^2\right)^2\)
\(\Leftrightarrow\left(-x^3yz\right)\left(\dfrac{2}{3}x^2y\right)\left(\dfrac{2}{3}x^2y\right)\)
\(\Leftrightarrow-\left[x^7y^3z\left(\dfrac{2}{3}\right)^2\right]\)
\(\Leftrightarrow-\dfrac{4}{9}x^7y^3z\)