👤
Answered

Which of the following is the quotient of the expression 6x³y⁴+9x⁴y³ ÷ 3x²y
​

Sagot :

Shaiwer12339dgo

Answer:

The quotient of the expression 6x³y⁴+9x⁴y³ ÷ 3x²y is 3x³y⁴(2 + x³)

RobbieRavenclawgo

Answer:

The quotient is  [tex]\LARGE\text{$\boldsymbol{2xy^3+3x^3y^2}$}[/tex].

Step-by-step explanation:

There are two ways in finding the quotient.

First way:

[tex]\frac{6x^3y^4+9x^4y^3}{3x^2y}=\frac{3x^3y^3(2y+3x)}{3x^2y}=xy^2(2y+3x)=\boxed{\boldsymbol{2xy^3+3x^2y^2}}[/tex]

Second way:

[tex]\frac{6x^3y^4+9x^4y^3}{3x^2y}=\frac{6x^3y^4}{3x^2y}+\frac{9x^4y^3}{3x^3y}=\boxed{\boldsymbol{2xy^3+3x^3y^2}}[/tex]

#CarryOnLearning

Go Training: Other Questions