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\(C=5x^3y^2-4x^3y^2+3x^2y^3+\dfrac{1}{2}x^2y^3+\dfrac{1}{3}x^4y^5-3x^4y^5-\dfrac{1}{7}\)

    \(=x^3y^2+\dfrac{7}{2}x^2y^3-\dfrac{8}{3}x^4y^5-\dfrac{1}{7}\)

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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^13y^15 + 6x^10y^14):(-3x^10y^14)= 4x^3y-2

b) (x-y)(x^2-2x+y)-x^3+x^2y= 2x^2 + xy + 2xy- y^2

6x³y¹⁵

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

e)2(x+2)+x(y-5)=2x+4+xy-5x=4-3x+xy

f)(x+y)(x+y)=(x+y)\(^2\)=\(x^2+2xy+y^2\)

g)(x-y)(x-y)=(x-y)\(^2\)=\(x^2-2xy+y^2\)

h)(x-y)(x+y)=\(x^2-y^2\)