Question

Evaluate the following product without multiplying directly: (i)48×52 (ii)54×53 (iii) 103×97

Answer 1

(50-2)(50+2)
By using the formula a^2-b^2=(a+b)(a-b)
(50^2 - 2^2)
2500-4
2496

Answer 2

Answer:

1. (50-2)(50+2)=50^2-2^2=2500-4=2496
2. (50+4)(50+3)=2500+200+150+12=2862
3. (100+3)(100-3)=100^2-3^2=10000-9=9991