Question

Simplify the following using an Algebraic Identity:a. (2a + 3) ^ 2 - (2a - 3) ^ 2
b. 104 * 102​

Answer 1

Answer:

a.

(2a+3)²-(2a-3)²

using identity a²-b²=(a+b)(a-b)

(2a+3+2a-3)(2a+3-2a-3)

=4a

b.104 x 102

(100+4)(100+2)

using identity (x+a)(x+b)= x²+(a+b)x+ab

where x=100, a=4 , b=2

100²+(4+2)100+ 4x2

10000+600+8

=10608

hope this will help you...