Question

Find the Product-
please
(x+y) (2x+y) + (x+2y) (x-y)
it's class 8th
Algebraic expressions and identities
exercise 9.4
question number 3
part 5 please fast

Answer 1

Here you go!
$(x + y)(2x + y) + (x + 2y)(x - y) \\ =( 2 {x}^{2} + xy + 2xy + {y}^{2} ) + ( {x}^{2} - xy + 2xy - 2 {y}^{2} ) \\ = 2 {x}^{2} + 3xy + {y}^{2} + {x }^{2} + xy - 2 {y}^{2} \\ = 3 {x}^{2} + 4xy - {y}^{2}$
Thats the answer!