Question

(v) (x + y)(2x + y) + (x + 2y)(x - y)​

Answer 1

Answer:

Equation: (x + y)(2x + y) + (x + 2y)(x - y)​

(x + y)(2x + y)

2x^2 +xy + 2xy + y^2

(x + 2y)(x - y)​

x^2 + xy + 2yx + 2y^2

2x^2 +xy + 2xy + y^2 + x^2 + xy + 2yx + 2y^2  

3x^4 +xy + 2xy + y^2 + xy + 2yx + 2y^2  

3y^4 + 3x^4 +xy + 2xy + xy + 2yx

2xy + 3y^4 + 3x^4 + 2xy + 2yx

2xy + 3y^4 + 3x^4 + 4xy

6xy + 3y^4 + 3x^4

The answer is : 6xy + 3y^4 + 3x^4

Explanation:

What i would do is calculate (x + y)(2x + y) and after  calculate (x + 2y)(x - y)​ after i will add all the x and y and xy together.