Question

How do you find the square of a number without multiplication?

Answer 1

Answer:

answer below

Step-by-step explanation:

The so called without multiplication actually means not using (original number * original number) to obtain the result. The (a±b)² method used on the webs is not eliminate any ( x or / or()), in that case I want to state my solution for any 2 number's any power calculation (such as (a+b)ⁿ) using Pascal triangle.

(2⁹)² : 2 layers of power 9 (10th level: 1,9,36,84,126,126,84,36,9,1) and 2(1,2,1)

first layer without "MULTIPLICATION":

2⁹ = (1+1)⁹ It's 10th level of pascal triangle

2⁹ = 1⁹ + 9*1⁸*1¹ + 36*1⁷*1² + ....... + 9*1*1⁸ + 1⁹

    = 1+9+36+84+126+126+84+36+9+1

    = 512

512² = (500 + 12)² = 500² + 2*500*12 + 12² = 262144

This formula will fit any (a+b)ⁿ

Answer 2

you need to multiply but the answer is 512