Question

Simplify the sum (x+ y) × (2x+y) + (x+2y)×(x-y)

Answer 1

Answer:

(x+y) *(2x+y) +(2x+3y)

(x+y) *2y

x+2y

Answer 2

Answer:

3x²+4xy-y²

Step-by-step explanation:

(x+ y) × (2x+y) + (x+2y)×(x-y)

= x(2x+y)+y(2x+y)+x(x-y)+2y(x-y)

= 2x²+xy+2xy+y²+x²-xy+2xy-2y²

= 2x²+x²+xy+2xy-xy+2xy+y²-2y²

= 3x²+4xy-y²

Therefore,

(x+ y) × (2x+y) + (x+2y)×(x-y)

= 3x²+4xy-y²

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