Question

plz solve step by step

Evaluate using identities

• (2001)²
• (849)²
• 121²-33²
• 331²-229²​

Answer 1

For 1st problem we should use(a+b)2 formula

For 2nd problem we should use (a-b)2 formula

Answer 2

Hope this helps you :)

1. (2001)^2

(a + b)^2 = a^2 + b^2 + 2ab

= (2000 + 1)^2

= (2000)^2 + (1)^2 + 2(2000)(1)

= 4004001

2. (849)^2

(a - b)^2 = a^2 + b^2 - 2ab

= (900 - 51)^2

= (900)^2 + (51)^2 - 2(900)(51)

= 720801

OR

=(800 + 49)^2

(a + b)^2 = a^2 + b^2 + 2ab

= (800)^2 + (49)^2 + 2(800)(49)

= 720801

3. (121)^2 - (33)^2

a^2 - b^2 = (a + b)(a - b)

= (121 + 33)(121 - 33)

= 13552

4. (331)^2 - (229)^2

a^2 - b^2 = (a + b)(a - b)

= (331 + 229)(331 - 229)

= 57120