Question

use appropriate property to find ( a+b+c)^2 -(a-b-c) ^2= 4a( b+ c)

Answer 1

Hi friend!!

We know that x²-y²=(x+y)(x-y)----(1)

given,

( a+b+c)²-(a-b-c)²

Using the property (1), we get

=(a+b+c+a-b-c)(a+b+c-a+b+c)

=2a(2b+2c)

=4a(b+c)

Hence proved.

I hope this will help you ;)