Without actual multiplication, find the squares of numbers 109 and 299.

see full answer

High-Paying Jobs That Even AI Can’t Replace — Through JEE/NEET

🎯 Hear from the experts why preparing for JEE/NEET today sets you up for future-proof, high-income careers tomorrow.

An Intiative by Sri Chaitanya

11881 and 89201

11801 and 89401

11881 and 89401

11801 and 89201

answer is C.

(Unlock A.I Detailed Solution for FREE)

JEE

NEET

Foundation JEE

Foundation NEET

CBSE

Detailed Solution

109 can be written as (100 + 9).

⇒ 109² = (100 + 9)²

⇒ 109² = 100² + 2 × 100 × 9 + 9²

⇒ 109² = 10000 + 1800 + 81

∴ 109² = 11881

Therefore, square of 109 is 11881.

Similarly, 299 can be written as (300 − 1).

⇒ 299² = (300 − 1)²

⇒ 299² = (300)² − 2 × 300 × 1 + 1²

⇒ 299² = 90000 − 600 + 1

∴ 299² = 89401

Thus, the square of 299 is 89401.

Watch 3-min video & get full concept clarity

Ready to Test Your Skills?

Check your Performance Today with our Free Mock Test used by Toppers!

Take Free Test