Question

50 points ! why a^2 - b^2 = (a + b) (a - b)​

Answer 1

Answer:

Step-by-step explanation:

First we have to take right hand side a+b*a-b.then we get by solving a*a-b+b*a-b .Now we have to again simplfiying we get a^2-ab+ab-b^2,then we get a^2-b^2

Answer 2

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If n is a natural number

 an – bn= (a – b)(an-1 + an-2b+…+ bn-2a + bn-1)

If n is even (n = 2k)

an + bn = (a + b)(an-1 – an-2b +…+ bn-2a – bn-1)

If n is odd (n = 2k + 1),

an + bn = (a + b)(an-1 – an-2b +…- bn-2a + bn-1)(a + b + c + …)2

 = a2 + b2 + c2 + … + 2(ab + ac + bc + ….)