Question

Evaluate the following using the special identities:998×998

Answer 1

Solution:

998× 998

= (1000-2)×(1000-2)

= (1000-2)²

Using the identity, (a-b)²= a²-2ab+b², we get:

= 1000²-2(1000)(2)+2²

= 1000000-2(2000)+4

= 1000000- 4000+4

= 996004

Verification:

998× 998= 996004

Answer 2

Answer:

998=1000-2

Step-by-step explanation:

9998×998

={1000-2}×{1000-2}

={1000-2}^2

={a-b}^2 =a^2-2×a×b+b^2

=1000^2-2×1000×2+2^2

=1000000-4000+4

=996004.