Question

using identities evaluate (997)²​

Answer 1

$\large \sf \blue{☯Answer:} \\ \\ \sf : \implies9,94,009$

__________________

To find:

(997)²=?

Identity used:

(A-B)²=A²+B²-2AB

Solution:

(997)²

(1,000-3)²

1,000²+3²-2(1,000)(3)

10,00,000+9-6,000

9,94,009

Related formula:

• (A+B)²=A²+B²+2AB
• (A-B)²=A²+B²-2AB
• (A+B)(A-B)=A²-B²
• (X+A)(X+B)=X²+(A+B)X+AB

Answer 2

Answer:

To find:

(997)²=?

Identity used:

(A-B)²=A²+B²-2AB

Solution:

(997)²

(1,000-3)²

1,000²+3²-2(1,000)(3)

10,00,000+9-6,000

9,94,009

Related formula:

(A+B)²=A²+B²+2AB

(A-B)²=A²+B²-2AB

(A+B)(A-B)=A²-B²

(X+A)(X+B)=X²+(A+B)X+AB