Question

(ii) (4x + 3y) (2x - y) - (3x – 2y) (x + y)​

Answer 1

Answer:

(4x + 3y) (2x - y) - (3x – 2y) (x + y)

[( 4x × 2x ) - ( 4x × y ) + ( 3y × 2x ) + ( 3y × -y) ] - [ ( 3x × x ) + ( 3x × y) - ( 2y × x ) - ( 2y × y)

[8x² - 4xy + 6xy + ( - 3y²) ] - [ 3x² + 3xy - 2xy - 2y²]

8x² - 4xy + 6xy - 3y² - 3x² + 3xy - 2xy - 2y²

5x² + 2xy - 5y² + 1xy

Answer is 5x² + 2xy - 5y² + 1xy

Answer 2

Answer:

= 5x² + xy - y²

Step-by-step explanation:

        (4x + 3y) (2x - y) - (3x - 2y) (x + y)

                     Multiplying with each other

         = 8x² - 4xy + 6xy - 3y²- 3x²- xy + 2y²

         = 8x² - 3x² - 4xy + 6xy - xy - 3y² + 2y²

         = 5x² + 2x - xy - y²

      = 5x² + xy - y²