Find the product of (a+b) and (a-b)

1.	Find the product of (a+b) and (a-b)
Answer» (a + b) (a – b) = a(a – b) + b (a – b) = a2\xa0–\xa0ab\xa0+\xa0ba\xa0+ b2 = a2\xa0– b2Therefore (a + b) (a – b) = a2\xa0– b2(First term + Second term) (First term – Second term) = (First term)2\xa0– (Second term)\xa02Example:\xa0Find the product (2x + 7y) (2x – 7y) by using the identity.\xa0Solution:\xa0We know (a + b) (a – b) = a2\xa0– b2Here a = 2x and b= 7y= (2x)2\xa0– (7y)2\xa0= 4x2\xa0– 49y2Therefore, (2x + 7y)(2x – 7y) = 4x2\xa0– 49y2

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