Question

derive the algebraic formula of a^3+b^3=(a+b)(a^2-ab+b^2)​

Answer 1

Answer:

Writing a formula for the total cost of a job would be useful for a plumber so that they could quickly calculate costs for their customers more easily. Once a formula is written, the plumber would only need to input how long the job would take in hours, and come up with a total cost to quote very easily.

Step-by-step explanation:

Answer 2

$a^3+b^3=(a+b)(a^2-ab+b^2)$

$=a(a^2-ab+b^2)a+b(a^2-ab+b^2)$

$= {a}^{3} - { a}^{2} b + a {b}^{2} + {a}^{2} b - a {b}^{2} + {b}^{3}$

$= {a}^{3} - { a}^{2} b + {a}^{2} b - a {b}^{2} + a {b}^{2} + {b}^{3}$

$= {a}^{3} + {b}^{3}$

$L.H.S = R.H.S$