Question

What alpha cube minus beta cube equals to.

Answer 1

Answer:

a3 - b3 = (a - b) (a2 + ab + b2). (1)

consider (a-b)

(a-b)2 = a2 - 2ab + b2= a2 + b2- 2ab. (2)

consider a2+ b2

a2 + b2= (a+b)2-2ab. (3)

from (2). (a-b)2 =(a+b)2 - 4ab

takin sq root b s

(a-b) = √{(a+b)2 -4ab}. (4)

from (1) a2 +b2 + ab = (a+b)2 - ab [as in step below (3)]

by combining

a3 - b3 = [√{(a+b)2 - 4ab}•{(a+b)2 - ab}

Step-by-step explanation:

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