Question

5. Use identities to solve the following:
i) (99)²
ans​

Answer 1

Answer:

(99)

2

=(100−1)

2

(100−1)

2

is of the form (a−b)

2

=a

2

+b

2

−2ab where a=100,b=1

∴(100−1)

2

=100

2

+1

2

−2×100×1

=10000+1−200=10000−199=9801