Question

Evaluate : a) ( 103 )2 b) (999)2 c) (61)2

- (39)2 d) ( 83 x 77 )​

Answer 1

Answer:

a) 103 x 103=10609

b) 999 x 999=998001

c) 61 x 61=3721

Answer 2

a) (103)^2

=(100+3)^2 [(a+b)^2=a^2+b^2+2ab)]

=100^2+3^2+2×100×3

=10000+9+600

=10609

b)(999)^2

=(1000-1)^2 [(a-b)^2=a^2+b^2-2ab)]

=1000^2+1^2-2×1000×1

=1000000+1-2000

=998000+1

=998001

c)(50+11)^2-(50-11)^2

=(50^2+11^2+2×50×11)-(50^2+11^2-2×50×11)

=(2500+121+1100)-(2500+121-1100)

= 3721-(2621-1100)

=3721-1521

=2200