(i) (x + y) (2x + y) + (x + 2y) (x - y)
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Answer:
3x² + 4xy - y²
Step-by-step explanation:
(x+y)(2x+y) + (x+2y)(x-y)
= { (x)(2x) + (x)(y) + (y)(2x) + (y)(y) } + { (x)(x) + (x)(-y) (2y)(x) + (2y)(-y) }
= ( 2x² + xy + 2xy + y² ) + ( x² -xy + 2xy - 2y²)
= 2x² + 3xy + y² + x² +xy - 2y²
= 3x² + 4xy - y²
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