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
