Evaluate the following by using the identities-998-2-

Question

Toppr Admin · Accepted Answer

We know-xA0-a-x2212-b-2-a2-b2-x2212-2abBy using this identity- we have-xA0-9982-1000-x2212-2-2-10002-22-x2212-2-xD7-1000-xD7-2-1000000-4-x2212-4000-996004

Evaluate the following by using the identities:
$998^{2}$

We know $(a - b)^{2} = a^{2} + b^{2} - 2 a b$

By using this identity, we have
$998^{2} = (1000 - 2)^{2}$

$= 1000^{2} + 2^{2} - 2 \times 1000 \times 2$

$= 1000000 + 4 - 4000$

$= 996004$

Evaluate the following by using the identities:9982

We know (a−b)2=a2+b2−2abBy using this identity, we have 9982=(1000−2)2=10002+22−2×1000×2=1000000+4−4000=996004

Evaluate the following by using the identities:
$998^{2}$

We know $(a - b)^{2} = a^{2} + b^{2} - 2 a b$

By using this identity, we have
$998^{2} = (1000 - 2)^{2}$

$= 1000^{2} + 2^{2} - 2 \times 1000 \times 2$

$= 1000000 + 4 - 4000$

$= 996004$