Tính tổng :
a) \(x^2+5x^2+\left(-3x^2\right)\)
b) \(5xy^2+\dfrac{1}{2}xy^2+\dfrac{1}{4}xy^2+\left(-\dfrac{1}{2}\right)xy^2\)
c) \(3x^2y^2z^2+x^2y^2z^2\)
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2: Thay \(x=\dfrac{1}{2}\) và y=2 vào M, ta được:
\(M=\dfrac{2\cdot\left(\dfrac{1}{2}\right)^2\cdot2-1.2\cdot\left(3\cdot\dfrac{1}{2}-2\cdot2\right)}{\dfrac{1}{2}\cdot2}\)
\(=4\cdot\dfrac{1}{4}-1.2\left(\dfrac{3}{2}-4\right)\)
\(=1-1.8+4.8\)
\(=4\)
1: Ta có: \(\left(-\dfrac{2}{3}x^3y^2\right)z\cdot5xy^2z^2\)
\(=\left(-\dfrac{2}{3}\cdot5\right)\cdot\left(x^3\cdot x\right)\cdot\left(y^2\cdot y^2\right)\cdot\left(z\cdot z^2\right)\)
\(=\dfrac{-10}{3}x^4y^4z^3\)
1.
a)\(\left(\dfrac{1}{2}\cdot\left(-2\right)\cdot\dfrac{-1}{3}\right)\cdot\left(x^2\cdot x^2\cdot x^2\right)\cdot\left(y^2\cdot y^3\right)\cdot z\)
\(\dfrac{1}{3}x^6y^5z\)
Deg=12
\(A=x^2y^3\left(\dfrac{1}{5}+\dfrac{2}{3}-\dfrac{3}{4}+1\right)=\dfrac{67}{60}x^2y^3\)
\(B=x^6y^3\cdot\dfrac{1}{4}x^2y^4z^2=\dfrac{1}{4}x^8y^7z^2\)
\(A+B=\dfrac{67}{60}x^2y^3+\dfrac{1}{4}x^8y^7z^2\)
\(A-B=\dfrac{67}{60}x^2y^3-\dfrac{1}{4}x^8y^7z^2\)
A=x2y3(15+23−34+1)=6760x2y3A=x2y3(15+23−34+1)=6760x2y3
B=x6y3⋅14x2y4z2=14x8y7z2B=x6y3⋅14x2y4z2=14x8y7z2
A+B=6760x2y3+14x8y7z2A+B=6760x2y3+14x8y7z2
A−B=6760x2y3−14x8y7z2
Bài 45: (SBT/12):
a. (5x4 - 3x3 + x2) : 3x2
= (5x4 : 3x2) + (-3x3 : 3x2) + (x2 : 3x2)
=\(\dfrac{5}{2}\)x2 - x + \(\dfrac{1}{3}\)
b. (5xy2 + 9xy - x2y2) : (-xy)
= [5xy2 : (-xy)] + [9xy : (-xy)] + [(-x2y2) : (-xy)]
= -5y - 9 + xy
c. (x3y3 : \(\dfrac{1}{3}\)x2y3 - x3y2) : \(\dfrac{1}{3}\)x2y2
= (x3y3 : \(\dfrac{1}{3}\)x2y2) + (-\(\dfrac{1}{2}\)x2y3 : \(\dfrac{1}{3}\)x2y2) + (-x3y2 : \(\dfrac{1}{3}\)x2y2)
= 3xy - \(\dfrac{3}{2}\)y - 3x
\(A=\dfrac{1}{5}x^2y^3+\dfrac{2}{3}x^2y^3-\dfrac{3}{4}x^2y^3+x^2y^3=\left(\dfrac{1}{5}+\dfrac{2}{3}-\dfrac{3}{4}+1\right)x^2y^3=\dfrac{67}{60}x^2y^3\\ B=\left(x^2y\right)^3\left(\dfrac{1}{2}xy^2z\right)^2=x^6y^3.\dfrac{1}{4}x^2y^4z^2=\dfrac{1}{4}x^8y^7z^2\)
a: \(5x^2y^4:10x^2y=\dfrac{1}{2}y^3\)
c: \(\left(-xy\right)^{10}:\left(-xy\right)^5=-x^5y^5\)
a) \(x^2+5x^2+\left(-3x^2\right)=x^2+5x^2-3x^2=\left(1+5-3\right).x^2=3x^2\)
b) \(5xy^2+\frac{1}{2}xy^2+\frac{1}{4}xy^2+\left(-\frac{1}{2}\right)xy^2=5xy^2+\frac{1}{4}xy^2=\left(5+\frac{1}{4}\right)xy^2=\frac{21}{4}xy^2\)
c) \(3x^2y^2z^2+x^2y^2z^2=\left(3+1\right)x^2y^2z^2=4x^2y^2z^2\)
a) x2+5x2+(−3x2)=3x2
b) 5xy2+12xy2+14xy2+(−12)xy2=19xy2
c) 3x2y2z2+x2y2z2=4x2y2z2