Question

Find the product. (i) (a + b) (c − d) + (a − b) (c + d) + 2 (ac + bd) (ii) (x + y) (2x + y) + (x + 2y) (x − y)

Answer 1

(1) (a+b) (c-d) +(a-b) (c+d) +2(ac +bd)
ac+bc-ad-bd+ac+ad-bc+ad-bd+2ac+2bd
=4ac+ad
(2) (x+y)(2x+y) +(x+2y)(x-y)
2x2+xy+2xy+y2+x2-xy+2xy-2y2
3x2+4xy-y2

Answer 2

Step-by-step explanation:

Simplify.

i. ( a+b)( c+d) +(a-b)(c+d)+ 2( ac+bd)

ii. (x+y)(x²-xy+y²)