Question

Find the squares of the following numbers using
the identity (a - b)2=a2 - 2ab+b2
a) 999 2 b) 495 2​

Answer 1

• (999)
• $(999) {}^{2} \\ (1000 - 1) {}^{2} \\ 1000 {}^{2} - 2 \times 1000 \times 1 + 1 {}^{2} \\ 1000000 - 2000 + 1 \\ 1000001 - 2000 \\ 998001$