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a) M = ( -2x^3 + x^2y + 1 ) + ( 2x^2y - 1 )
= -2x^3 + x^2y + 1 + 2x^2y - 1
= -2x^3 + ( x^2y + 2x^2y ) + ( 1 - 1 )
= -2x^3 + 3x^2y
b) M = ( 3x^2 + 3xy - x^3 ) - ( 3x^2 + 2xy -4y^2 )
= 3x^2 + 3xy - x^3 - 3x^2 - 2xy + 4y^2
= ( 3x^2 - 3x^2 ) + ( 3xy - 2xy ) - x^3 + 4y^2
= xy - x^3 + 4y^2
a, \(M-\left(3xy-4y^2-2xy\right)=\left(x^2-7xy+8y^2\right)\)
\(\Rightarrow M=\left(x^2-7xy+8y^2\right)+\left(3xy-4y^2-2xy\right)\)
\(\Rightarrow M=x^2-7xy+8y^2+3xy-4y^2-2xy\)
\(\Rightarrow M=x^2+\left[3xy-7xy-2xy\right]+\left[8y^2-4y^2\right]\)
\(\Rightarrow M=x^2-6xy+4y^2\)
b, \(N+\left(x^3-xyz+3x^2y\right)=2x^3+3xy-xy^2\)
\(\Rightarrow N=\left(2x^3+3xy-xy^2\right)-\left(x^3-xyz+3x^2y\right)\)
\(\Rightarrow N=2x^3+3xy-xy^2-x^3+xyz-3x^2y\)
\(\Rightarrow N=\left[2x^3-x^3\right]+3xy-xy^2+xyz-3x^2y\)
\(\Rightarrow N=x^3+3xy-xy^2+xyz-3x^2y\)
Tích mình nha!!!
Bài 1 :
A + B = 4x2 - 5xy + 3y2 + 3x2 + 2xy - y2
= ( 4x2 + 3x2 ) - ( 5xy - 2xy ) + ( 3y2 - y2 )
= 7x2 - 3xy + 2y2
A - B = 4x2 - 5xy + 3y2 - ( 3x2 + 2xy - y2 )
= 4x2 - 5xy + 3y2 - 3x2 - 2xy + y2
= ( 4x2 - 3x2 ) - ( 5xy + 2xy ) + ( 3y2 + y2 )
= x2 - 7xy + 4y2
Bài 2 :
a) M + (5x2 - 2xy) = 6x2 + 9xy - y2
M = 6x2 + 9xy - y2 - (5x2 - 2xy)
M = 6x2 + 9xy - y2 - 5x2 + 2xy
M = ( 6x2 - 5x2 ) + ( 9xy + 2xy ) - y2
M = x2 + 11xy - y2
Vậy M = x2 + 11xy - y2
b) (3xy - 4y2) - N = x2 - 7xy + 8y2
N = 3xy - 4y2 - x2 - 7xy + 8y2
N = ( 3xy - 7xy ) - ( 4y2 - 8y2 ) - x2
N = -4xy + 4y2 - x2
Vậy N = -4xy + 4y2 - x2
3, Cho đa thức
A(x)+B(x) = (3x4-\(\dfrac{3}{4}\)x3+2x2-3)+(8x4+\(\dfrac{1}{5}\)x3-9x+\(\dfrac{2}{5}\))
= 3x4-\(\dfrac{3}{4}\)x3+2x2-3+8x4+\(\dfrac{1}{5}\)x3-9x+\(\dfrac{2}{5}\)
= (3x4+8x4)+(-3/4x3+1/5x3)+(-3+2/5)+2x2-9x
= 11x4 -0.55x3-2.6+2x2-9x
A(x)-B(x)=(3x4-\(\dfrac{3}{4}\)x3+2x2-3)-(8x4+\(\dfrac{1}{5}\)x3-9x+\(\dfrac{2}{5}\))
= 3x4-\(\dfrac{3}{4}\)x3+2x2-3-8x4-\(\dfrac{1}{5}\)x3+9x-\(\dfrac{2}{5}\)
= (3x4-8x4)+(-3/4x3-1/5x3)+(-3-2/5)+2x2+9x
= -5x4-0.95x3-3.4+2x2+9x
B(x)-A(x)=(8x4+\(\dfrac{1}{5}\)x3-9x+\(\dfrac{2}{5}\))-(3x4-\(\dfrac{3}{4}\)x3+2x2-3)
=8x4+\(\dfrac{1}{5}\)x3-9x+\(\dfrac{2}{5}\)-3x4+\(\dfrac{3}{4}\)x3-2x2+3
=(8x4-3x4)+(1/5x3+3/4x3)+(2/5+3)-9x-2x2
= 5x4+0.95x3+2.6-9x-2x2
a, (3x2-2xy+y2) + (x2-xy+2y2) - (4x2-y2)
= 3x2-2xy+y2+x2-xy+2y2-4x2+y2
= 4y2-3xy
b, = x2-y2+2xy-x2-xy-2y2+4xy-1
= -3y2+5xy
c, M=5xy+x2-7y2+(2xy-4y)2 = 5xy+x2-7y2+4x2y2-16xy2+16y2 = 5xy+x2+9y2+4x2y2-16xy2
a, A=\(\left(2x^2y-4xy^3\right)-\left(3x^2y-2xy^3\right)\)
= \(2x^2y-2xy^3-3x^2y+2xy^3\)
= \(2x^2y-3x^2y-2xy^3+2xy^3\)
=\(-1x^2y-0\)
=\(-1x^2y\)
Bn tự làm tiếp nhé
C= x2 y - \(\dfrac{1}{2}\)xy2 + \(\dfrac{1}{3}\)x2y +\(\dfrac{2}{3}\)xy2 + 1
C=(x2y + \(\dfrac{1}{3}\)x2y )+( - \(\dfrac{1}{2}\)xy2 +\(\dfrac{2}{3}\)xy2)+ 1
C=\(\dfrac{4}{3}\)x2y +\(\dfrac{1}{6}\)xy2+1
=>Bặc: 3
D= xy2z + 3xyz2 - \(\dfrac{1}{5}\)xy2z - \(\dfrac{1}{3}\)xyz2 - 2
D=(xy2z - \(\dfrac{1}{5}\)xy2z )+( 3xyz2 - \(\dfrac{1}{3}\)xyz2) - 2
D=\(\dfrac{4}{5}\)xy2z +\(\dfrac{8}{3}\)xyz2 - 2
=> Bậc :4
E = 3xy5 - x2y + 7xy - 3xy5 + 3x2y - \(\dfrac{1}{2}\)xy + 1
E=(3xy5- 3xy5) + (- x2y + 3x2y) + (7xy - \(\dfrac{1}{2}\)xy)+ 1
E= 2x2y + \(\dfrac{13}{2}\)xy + 1
=> Bậc: 3
K = 5x3 - 4x + 7x2 - 6x3 + 4x + 1
K= (5x3 - 6x3 ) + (- 4x + 4x) +1
K= -1x3 + 1
=>Bậc: 3
F = 12x3y2 - \(\dfrac{3}{7}\)x4y2 + 2xy3 - x3y2 + x4y2 - xy3 - 5
F=( 12x3y2 - x3y2) + (- \(\dfrac{3}{7}\)x4y2 + x4y2) + (2xy3 - xy3) -5
F=11x3y2 + \(\dfrac{4}{7}\)x4y2 + xy3 - 5
=> Bậc :6
CHÚC BN HỌC TỐT ^-^
a, \(M=x^2y+\frac{1}{3}xy^2+\frac{3}{5}xy^2-2xy+3x^2y-\frac{2}{3}\)
\(M=\left(x^2y+3x^2y\right)+\left(\frac{1}{3}xy^2+\frac{3}{5}xy^2\right)-2xy-\frac{2}{3}\)
\(M=4x^2y+\frac{8}{15}xy^2-2xy-\frac{2}{3}\)
b, Giá trị của biểu thức \(M=4x^2y+\frac{8}{15}xy^2-2xy-\frac{2}{3}\) tại \(x=-1\) và \(y=\frac{1}{2}\)
\(M=4.\left(-1\right)^2.\frac{1}{2}+\frac{8}{15}.\left(-1\right).\left(\frac{1}{2}\right)^2-2.\left(-1\right).\frac{1}{2}-\frac{2}{3}\)
\(M=4.1.\frac{1}{2}+\frac{8}{15}.\left(-1\right).\left(\frac{1}{4}\right)+1-\frac{2}{3}\)
\(M=2-\frac{2}{15}+1-\frac{2}{3}\)
\(M=\left(2+1\right)+\left(-\frac{2}{15}-\frac{2}{3}\right)\)
\(M=3+\left(\frac{-4}{5}\right)\)
\(M=\frac{11}{5}\)
Vậy giá trị của biểu thức \(M=4x^2y+\frac{8}{15}xy^2-2xy-\frac{2}{3}\) tại \(x=-1\) và \(y=\frac{1}{2}\) bằng \(\frac{11}{5}\)
Câu 2:
a: \(M=\left(3x^2y^3-3x^2y^3\right)+\left(2x^2y\right)+\left(3xy^2-5xy^2\right)+4\)
\(=2x^2y-2xy^2+4\)
Khi x=-1 và y=2 thì \(M=2\cdot\left(-1\right)^2\cdot2-2\cdot\left(-1\right)\cdot2^2+4\)
\(=4+2\cdot4+4=16\)
b: \(M+N=3xy^2+2x+3\)
\(M-N=4x^2y-7xy^2-2x+5\)
a) M - \(^{\left(x^2y-1\right)}\)= -2\(x^3\)+\(x^2y\)+1
=> M= (-2\(x^3\)+\(x^2y\)+1) + \(^{\left(x^2y-1\right)}\)
=> M= -2\(x^3\)+\(x^2y\)+1+ \(^{x^2y-1}\)
=> M= -2\(x^3\)+(\(x^2y+x^2y\))+1-1
=> M= -2\(x^3\)+\(2x^2y\)
b) \(3x^2+3xy-3x^3-M=3x^2+2xy-4y^2\)
=> \(M=\left(3x^2+3xy-3x^3\right)-\left(3x^2+2xy-4y^2\right)\)
\(=>M=3x^2+3xy-3x^3-3x^2-2xy+4y^2\)
\(=>M=\left(3x^2-3x^2\right)+\left(3xy-2xy\right)-3x^3+4y^2\)
\(=>M=xy-3x^3+4y^2\)
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