Thu gọn F=(x—y—1)3—(x—y+1)3+6(x—y)2
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\(C=5x^3y^2-4x^3y^2+3x^2y^3+\dfrac{1}{2}x^2y^3+\dfrac{1}{3}x^4y^5-3x^4y^5-\dfrac{1}{7}\)
\(=x^3y^2+\dfrac{7}{2}x^2y^3-\dfrac{8}{3}x^4y^5-\dfrac{1}{7}\)
Chọn B.
(1). C4H6O2 + NaOH → t ∘ CH3CHO (X) + CH3COONa (Y)
(2). CH3CHO (X) + AgNO3 + NH3 + H2O → t ∘ CH3COONH4 (F) + Ag↓ + NH4NO3
(3). CH3COONa (Y) + NaOH → C a O , t ∘ CH4 + Na2CO3
a) \(\left(-12x^{13}y^{15}+6x^{10}y^{14}\right):\left(-3x^{10}y^{14}\right)\)
\(=-12x^{13}y^{15}:-3x^{10}y^{14}+6x^{10}y^{14}:-3x^{10}y^{14}\)
\(=4x^3y-2\)
b) \(\left(x-y\right)\left(x^2-2x+y\right)-x^3+x^2y\)
\(=x^3-2x^2+xy-x^2y+2xy-y^2-x^3+x^2y\)
\(=-2x^2+3xy-y^2\)
a) \(-12x^{13}\)\(y^{15}\)+\(6x^{10}\)\(y^{14}\):\(-3x^{10}\)\(y^{14}\)
=\(-12x\)\(^{13}\)\(y^{15}\)\(:\)\(-3x^{10}y^{14}\)\(+6x^{10}y^{14}:-3x^{10}y^{14}\)
\(=4x^3y-2\)
b)\(=\left(x-y\right)x^2-2x+y-x^3+x^2y\)
\(=x^3-x^2y-2x+y-x^3+x^2y\)
\(=-2x+y\)
a) \(M=a^2\left(a+b\right)-b\left(a^2-b^2\right)+1=a^3+a^2b-a^2b+b^3+1=a^3+b^3+1\)
b) \(P=x\left(x-y+1\right)-y\left(y+1-x\right)-2=x^2-xy+x-y^2-y+xy-2=x^2+x-y-y^2-2\)
c) \(Q=\left(m+3\right)\left(m^2+3m-5\right)+\left(6-m\right)m^2+11=m^3+3m^2-5m+3m^2+9m-15+6m^2-m^3+11=12m^2+4m-4\)
a: Ta có: \(M=a^2\left(a+b\right)-b\left(a^2-b^2\right)+1\)
\(=a^3+a^2b-a^2b+b^3+1\)
\(=a^3+b^3+1\)
a) \(x\left(2x+1\right)\)
\(=2x^2+x\)
b) \(y\left(5-x\right)=5y-xy\)
c) \(3\left(2x-3y\right)=6x-9y\)
d) \(2\left(x+2\right)+x\left(y-5\right)\)
\(=2x+4+xy-5x\)
\(=-3x+xy+4\)
e) \(2x\left(x+1\right)-\left(3x^2-5\right)\)
\(=2x^2+2x-3x^2+5\)
\(=-x^2+2x+5\)
f) \(\left(x+y\right)\left(x+y\right)\)
\(=x^2+xy+xy+y^2\)
\(=x^2+2xy+y^2\)
g) \(\left(x-y\right)\left(x-y\right)\)
\(=x^2-xy-xy+y^2\)
\(=x^2-2xy+y^2\)
h) \(\left(x-y\right)\left(x+y\right)\)
\(=x^2-xy-xy-y^2\)
\(=x^2-2xy-y^2\)
a) 2(2x+1)=\(2x^2+x\)
b)y(5-x)=5y-xy
c)3(2x-3y)=6x-9y
d)2x(x+1)-(3\(x^2\)-5)=\(2x^2\)+2x-\(3x^2\)+5=-\(-x^2\)+2x+5
F = ( x - y- 1 )3 - ( x - y + 1 )3 + 6.( x - y )2
F = [ ( x - y ) - 1 ]3 - [ ( x - y ) + 1 ]3 + 6.( x - y )2
F = [ ( x - y )3 - 3( x - y )2 + 3.( x - y ) - 1 ] - [ ( x - y )3 + 3.( x - y )2 + 3.( x - y ) + 1 ] + 6.( x - y )2
F = ( x - y )3 - 3( x - y )2 + 3.( x - y ) - 1 - ( x - y )3 - 3.( x - y )2 - 3.( x - y ) - 1 + 6.( x - y )2
F = - 2