Question

Divide: 12x³y−8x
²y²
by 4xy​

Answer 1

Answer:

3x²-2xy

Step-by-step explanation:

12x³y-8x²y²÷4xy

(12x³y÷4xy)-(8x²y²÷4xy)

3x²-2xy

I hope this helps!

Answer 2

Answer :

➥ The expression = 3x² - 2xy

Given :

➤ 12x³ y - 8x² y² by 4xy

To Find :

➤ Divide the expression.

Required Solution :

Here in this question, we are given with 12x³ y - 8x² y² by 4xy and we have to divide the expression.

So, let's start solving the above expression and understand the steps of solving to reach our final result.

$\tt{:\implies \dfrac{12 {x}^{3}y - 8 {x}^{2} {y}^{2} }{4xy} }$

Factorize the expression,

$\tt{:\implies \dfrac{4 {x}^{2}y(3x - 2y) }{4xy} }$

Separate the common factor, 4xy,

$\tt{:\implies \dfrac{ \cancel{4xy}x(3x - 2y)}{ \cancel{4xy}} }$

Do the reduction of the fraction by common factors,

$\tt{:\implies \dfrac{x(3x - 2y)}{1} }$

If a certain expression is divided by 1, the expression remains as it is,

$\tt{:\implies x(3x - 2y)}$

Expand the expression,

$\bf{:\implies \underline{ \: \: \underline{ \red{ \: \: 3 {x}^{2} - 2xy \: \: }} \: \: }}$

║Hence, the expression is 3x² - 2xy.║