Advertisements
Advertisements
Question
Show that (a - b)(a + b) + (b - c) (b + c) + (c - a) (c + a) = 0
Solution
L.H.S = (a - b) (a + b) + (b - c) (b + c) + (c - a) (c + a)
= (a2 - b2) + (b2 - c2) + (c2 - a2) = 0 = R.H.S
shaalaa.com
Is there an error in this question or solution?
APPEARS IN
RELATED QUESTIONS
Show that (3x + 7)2 − 84x = (3x − 7)2
Simplify the following using the formula: (a − b)(a + b) = a2 − b2: (79)2 − (69)2
Simplify the following using the identities: 178 × 178 − 22 × 22
Find the following product: (x − 3) ( x − 2)
Evaluate the following: 109 × 107
Expand the following:
(2p + 3)(2p – 4)(2p – 5)
Evaluate the following by using identities:
10013
On dividing p(4p2 – 16) by 4p(p – 2), we get ______.
Simplify:
`(7/9 a + 9/7 b)^2 - ab`
Using suitable identities, evaluate the following.
(52)2
