Question

simplify 3xy(4x-5y)+3x^2y​

Answer 1

Answer:

Q :

3xy ( 4x -5y ) + 3x^2 y

= 12 x^2y - 15 xy^2 + 3 x^y

= 15 x^2y - 15 xy^2

=15 xy ( x - y )

Answer 2

$\sf 3xy(4x - 5y) + 3 {x}^{2} y = 15 xy ( x - y )$

Given :

$\sf 3xy(4x - 5y) + 3 {x}^{2} y$

To find :

Simplify the given expression

Solution :

Step 1 of 2 :

Write down the given expression

The given expression is

$\sf 3xy(4x - 5y) + 3 {x}^{2} y$

Step 2 of 2 :

Simplify the given expression

$\sf 3xy(4x - 5y) + 3 {x}^{2} y$

$\sf = (3xy \times 4x) - (3xy \times 5y) + 3 {x}^{2} y$

$\sf = 12 {x}^{2} y - 15x {y}^{2} + 3 {x}^{2} y$

$\sf = 12 {x}^{2} y + 3 {x}^{2} y- 15x {y}^{2}$

$\sf = (12 + 3) {x}^{2} y- 15x {y}^{2}$

$\sf =15 {x}^{2} y- 15x {y}^{2}$

$\sf = 15 xy ( x - y )$