Question

Q5. Find the product of (5x+3y) (15x9y) using the identity.​

Answer 1

The product of $( 5x+3y)(15x-9y)$  is $75\ x^{2} - 27 \ y^{2}$ .

Step-by-step explanation:

Given:

$( 5x+3y)(15x-9y)$

To Find:

The product of $( 5x+3y)(15x-9y)$ .

Identity Used:

$(p+q) (p-q) = p^{2} - q^{2}$        --------------- Identity no.01

Solution:

As given- $( 5x+3y)(15x-9y)$

$( 5x+3y)(15x-9y) = ( 5x +3y)\times 3 ( 5x-3y)$

                               $= 3( 5x +3y) ( 5x-3y)$

Using the Identity no.01.

                               $= 3 [ (5x)^{2} - (3y)^{2} ]$

                              $= 3 [25x^{2} - 9 y^{2} ]\\ =75\ x^{2} - 27\ y^{2}$

Thus,the product of $( 5x+3y)(15x-9y)$  is $75\ x^{2} - 27 \ y^{2}$ .

Correct Question

Q5. Find the product of (5x+3y) (15x - 9y) using the identity.