Question

(a+b) (2a+3b)+(a+2b) (a-3b)

Answer 1

Given,

(a+b) (2a+3b)+(a+2b) (a-3b)

To find,

Simplify the given expression.

Solution,

(a +b) (2a+3b)+(a+2b) (a-3b)

⇒ a( 2a+3b ) + b ( 2a+3b ) + a( a-3b ) + 2b( a-3b )

⇒ 2a² + 3ab + 2ab + 3b² + a² - 3ab + 2ab -6b²

Adding the like terms we get,

⇒ (2 a²+ a²) + (3ab + 2ab + 3ab - 3ab + 2ab) + (3b² - 6 b²).

⇒ 3a² + 7ab - 3b².

Hence, the solution of expression ( a +b ) ( 2a + 3b )+( a + 2b ) ( a - 3b ) is 3a² + 7ab - 3b².