a) xy ( 3x + 2y ) - 5xy mũ 2
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A=\(\left(\frac{2}{5}xy+3x^2y^3-4xy^3\right)-\left(-x^2y^3+xy^3+\frac{2}{5}xy\right)+5\)
A=\(\frac{2}{5}xy+3x^2y^3-4xy^3+x^2y^3-xy^3-\frac{2}{5}xy+5\)
A=\(\left(\frac{2}{5}xy-\frac{2}{5}xy\right)+\left(3x^2y^3+x^2y^3\right)+\left(-4xy^3-xy^3\right)+5\)
A=\(4x^2y^3-5xy^3+5\)
Thay \(x=\frac{1}{2}\) và \(y=-1\) vào đa thức A, ta được:
\(4.\left(\frac{1}{2}\right)^2.\left(-1\right)^3-5.\left(\frac{1}{2}\right).\left(-1\right)^3+5\)
=\(4.\frac{1}{4}.\left(-1\right)-5.\frac{1}{2}.\left(-1\right)+5\)
=\(\left(-1\right)-\left(-\frac{5}{2}\right)+5\)
= \(\frac{3}{2}+5=\frac{13}{2}\)
Vậy giá trị của đa thức A tại \(x=\frac{1}{2}\) và \(y=-1\) là \(\frac{13}{2}\)
Nhớ tick cho mình nha!
Ta có: \(P\left(x\right)=2x^3y-3x^2y+3xy+2+\left(-2x^3y\right)-3x^2y-5xy+13\)
\(=\left(2x^3y-2x^3y\right)-\left(3x^2y+3x^2y\right)+\left(3xy-5xy\right)+\left(2+13\right)\)
\(=-6x^2y-2xy+15\)
Bài 1:
a) Ta có: \(\left(15x^2\cdot y^2\cdot z\right):3xyz\)
\(=\dfrac{15x^2y^2z}{3xyz}\)
\(=5xy\)
b) Ta có: \(3x^2\cdot\left(5x^2-4x+3\right)\)
\(=3x^2\cdot5x^2-3x^2\cdot4x+3x^2\cdot3\)
\(=15x^4-12x^3+9x^2\)
c) Ta có: \(\left(2x^2-3x\right):\left(x-4\right)\)
\(=\dfrac{2x^2-8x+5x-20+20}{x-4}\)
\(=\dfrac{2x\left(x-4\right)+5\left(x-4\right)+20}{x-4}\)
\(=2x+5+\dfrac{20}{x-4}\)
d) Ta có: \(-5xy\cdot\left(3x^2y-5xy+y^2\right)\)
\(=-5xy\cdot3x^2y+5xy\cdot5xy-5xy\cdot y^2\)
\(=-15x^3y^2+25x^2y^2-5xy^3\)
\(Q=x^2+2xy+\left(-3x^3+3x^3\right)+\left(2y^3-y^3\right)=x^2+2xy+y^3\)
\(P=\left(\dfrac{1}{3}x^2y-\dfrac{1}{3}x^2y\right)+\left(xy^2+\dfrac{1}{2}xy^2\right)-\left(xy+5xy\right)=\dfrac{3}{2}xy^2-6xy\)
a) ( 5x - y )( 25x2 + 5xy + y2 ) = ( 5x )3 - y3 = 125x3 - y3
b) ( x - 3 )( x2 + 3x + 9 ) - ( 54 + x3 ) = x3 - 33 - 54 - x3 = -27 - 54 = -81
c) ( 2x + y )( 4x2 - 2xy + y2 ) - ( 2x - y )( 4x2 + 2xy + y2 ) = ( 2x )3 + y3 - [ ( 2x )3 - y3 ]= 8x3 + y3 - 8x3 + y3 = 2y3
d) ( x + y )2 + ( x - y )2 + ( x + y )( x - y ) - 3x2 = x2 + 2xy + y2 + x2 - 2xy + y2 + x2 - y2 - 3x2 = y2
e) ( x - 3 )3 - ( x - 3 )( x2 + 3x + 9 ) + 6( x + 1 )2
= x3 - 9x2 + 27x - 27 - ( x3 - 33 ) + 6( x2 + 2x + 1 )
= x3 - 9x2 + 27x - 27 - x3 + 27 + 6x2 + 12x + 6
= -3x2 + 39x + 6
= -3( x2 - 13x - 2 )
f) ( x + y )( x2 - xy + y2 ) + ( x - y )( x2 + xy + y2 ) - 2x3
= x3 + y3 + x3 - y3 - 2x3
= 0
g) x2 + 2x( y + 1 ) + y2 + 2y + 1
= x2 + 2x( y + 1 ) + ( y2 + 2y + 1 )
= x2 + 2x( y + 1 ) + ( y + 1 )2
= ( x + y + 1 )2
= [ ( x + y ) + 1 ]2
= ( x + y )2 + 2( x + y ) + 1
= x2 + 2xy + y2 + 2x + 2y + 1
\(\Leftrightarrow P=\left(\frac{1}{3}x^2y-\frac{1}{3}x^2y\right)+\left(xy^2+\frac{1}{2}xy^2\right)-\left(xy+5xy\right)\)
\(\Leftrightarrow P=\frac{3}{2}xy^2-6xy\)
Thay \(x=0,5;y=1\)vaof P; dc:
\(P=\frac{3}{2}\cdot0,5-6.0,5=\frac{1}{2}\left(\frac{3}{2}-\frac{12}{2}\right)=\frac{1}{2}\cdot\frac{-9}{2}=-\frac{9}{4}\)
`A=1/3x^2y+xy^2-xy+1/2xy^2-5xy-1/3x^2y`
`=(1/3x^2y-1/3x^2y)+(xy^2+1/2xy^2)-xy-5xy`
`=3/2xy^2-6xy`
đề bài hỏi cái gì á bạn