Thực hiện các phép chia:
a) \(\left( {5ab - 2{a^2}} \right):a\) b) \(\left( {6{x^2}{y^2} - x{y^2} + 3{x^2}y} \right): - 3xy\)
Thực hiện các phép chia:
a) \(20{x^3}{y^5}:\left( {5{x^2}{y^2}} \right)\)
b) \(18{x^3}{y^5}:\left[ {3{{\left( { - x} \right)}^3}{y^2}} \right]\)
`a, 20x^3y^5 : 5x^2y^2`
`= (20:5)x^(3-2) . y^(5-2)`
`= 4xy^3`
`b, 18x^3y^5 : (3(-x^3)y^2)`
`= -(18:3)y^(5-3)`
`= -6y^2`
Thực hiện các phép chia:
a) \(\left( {4{x^3}{y^2} - 8{x^2}y + 10xy} \right):\left( {2xy} \right)\) b) \(\left( {7{x^4}{y^2} - 2{x^2}{y^2} - 5{x^3}{y^4}} \right):\left( {3{x^2}y} \right)\)
`a, (4x^3y^2 - 8x^2y + 10xy) : 2xy`
`= 2x^2y - 4x + 5`.
`b, 7x^4y^2 - 2x^2y^2 - 5x^3y^4 : 3x^2y`
`= 7/3 x^2y - 3/2y - 5/3xy^3`
Thực hiện các phép nhân:
a) \(\left( { - 5{a^4}} \right)\left( {{a^2}b - a{b^2}} \right)\) b) \(\left( {x + 2y} \right)\left( {x{y^2} - 2{y^3}} \right)\)
a) \(\left(-5a^4\right)\cdot\left(a^2b-ab^2\right)\)
\(=\left(-5a^4\cdot a^2b\right)-\left(-5a^4\cdot ab^2\right)\)
\(=-5a^6b+5a^5b^2\)
b) \(\left(x+2y\right)\left(xy^2-2y^3\right)\)
\(=x^2y^2-2xy^3+2xy^3-4y^4\)
\(=x^2y^2-4y^4\)
`a, (-5a^4)(a^2b - ab^2)`
`= -5(a^(4+2) . b) + 5a^(4+1) . b^2`
`= -5a^6b + 5a^5b^2`
`b, (x+2y)(xy^2-2y^3)`
`= x^2y^2 + 2xy^3 - 2xy^3 - 4y^4`
BT10: Thực hiện phép tính
\(a,-xyz^2\)\(-3xz.yz\)
\(b,-8x^2\)\(y-x.\left(xy\right)\)
\(c,4xy^2\) \(.x-\left(-12x^2y^2\right)\)
\(d,\dfrac{1}{2}x^2y^3-\dfrac{1}{3}x^2y.y^2\)
\(e,3xy\left(x^2y\right)-\dfrac{5}{6}x^3y^2\)
\(f,\dfrac{3}{4}x^4y-\dfrac{1}{6}xy.x^3\)
a: =-4xyz^2
b: =-9x^2y
c: =16x^2y^2
d: =1/6x^2y^3
e: =13/6x^3y^2
f: =7/12x^4y
a) -xyz² - 3xz.yz
= -xyz² - 3xyz²
= -4xyz²
b) -8x²y - x.(xy)
= -8x²y - x²y
= -9x²y
c) 4xy².x - (-12x²y²)
= 4x²y² + 12x²y²
= 16x²y²
d) 1/2 x²y³ - 1/3 x²y.y²
= 1/2 x²y³ - 1/3 x²y³
= 1/6 x²y³
e) 3xy(x²y) - 5/6 x³y²
= 3x³y² - 5/6 x³y²
= 13/6 x³y²
f) 3/4 x⁴y - 1/6 xy.x³
= 3/4 x⁴y - 1/6 x⁴y
= 7/12 x⁴y
Thực hiện các phép chia:
\(\left(x^3+3x^2y+3xy^2+y^3\right):2\left(x+y\right)^2\)
\(\left(3x^3-5x^2+9x-15\right):\left(3x-5\right)\)
Thực hiện các phép tính sau:
a) \({x^2}y\left( {5xy - 2{x^2}y - {y^2}} \right)\)
b) \(\left( {x - 2y} \right)\left( {2{x^3} + 4xy} \right)\)
a) \(x^2y\left(5xy-2x^2y-y^2\right)\)
\(=5x^3y^2-2x^4y^2-x^2y^3\)
b) \(\left(x-2y\right)\left(2x^3+4xy\right)\)
\(=2x^4+4x^2y-4x^3y-8xy^2\)
Thực hiện các phép tính sau :
a. \(\dfrac{\sqrt{x}+1}{\sqrt{x}-2}+\dfrac{2\sqrt{x}}{\sqrt{x}+2}+\dfrac{2+5\sqrt{x}}{4-x}\)
b. \(\left(a^2b-3ab^2\right):\left(\dfrac{1}{2}ab\right)+\left(6b^3-5ab^2\right):b^2\)
Thực hiện các phép tính sau :
a. \(\dfrac{\sqrt{x}+1}{\sqrt{x}-2}+\dfrac{2\sqrt{x}}{\sqrt{x}+2}+\dfrac{2+5\sqrt{x}}{4-x}\)
b. \(\left(a^2b-3ab^2\right):\left(\dfrac{1}{2}ab\right)+\left(6b^3-5ab^2\right):b^2\)
\(a,=\dfrac{x+3\sqrt{x}+2+2x-4\sqrt{x}-2-5\sqrt{x}}{\left(\sqrt{x}-2\right)\left(\sqrt{x}+2\right)}\\ =\dfrac{3x-6\sqrt{x}}{\left(\sqrt{x}-2\right)\left(\sqrt{x}+2\right)}=\dfrac{3\sqrt{x}\left(\sqrt{x}-2\right)}{\left(\sqrt{x}-2\right)\left(\sqrt{x}+2\right)}=\dfrac{3\sqrt{x}}{\sqrt{x}+2}\\ b,=2a-6b+6b-5a=-3a\)
Thực hiện các phép tính sau:
a) \(18{x^4}{y^3}:12{\left( { - x} \right)^3}y\)
b) \({x^2}{y^2} - 2x{y^3}:\left( {\dfrac{1}{2}x{y^2}} \right)\)
a) \(18x^4y^3:12\left(-x\right)^3y\)
\(=\left(18:-12\right)\left(x^4:x^3\right)\left(y^3:y\right)\)
\(=-\dfrac{3}{2}xy^2\)
b) \(x^2y^2-2xy^3:\dfrac{1}{2}xy^2\)
\(=\dfrac{xy^2\left(x-2y\right)}{\dfrac{1}{2}xy^2}\)
\(=\dfrac{x-2y}{\dfrac{1}{2}}\)
\(=2x-4y\)