Question

Using identity. Solve:
a. 104 X 96
b. 102 X 103

Answer 1

104×96 =(a+b) (a-b) =a×a-b×b 102×103={x+a}{x+(-b)}=x×x+(a+b)x-ab

Answer 2

(a+b)(a-b)=a^2-b^2
a=(100+4)(100-4)=(100)^2-(4)^2
=10000-16
=9984
(x+a)(x+b)=x^2+(a+b)x+ab
b=(100+2)(100+3)=(100)^2+(2+3)100+2×3
=10000+500+6
=10506