Question

if (a - b) = 4, find the value of a^3-b^3-12ab​

Answer 1

this is the correct answer

Answer 2

Answer:

here is u r answer

Step-by-step explanation:

a^3 + b^3 + 12ab,

Now, Take a^3 + b^3 from the query, and using the formula of

-> a^3 +b^3 +12ab = (a+b)(a^2 - ab + b^2) +12ab,

-> given a+b =4, put the value in RHS

-> 4(a^2 -ab + b^2) + 12ab,

-> 4a^2 - 4ab + 4b^2 +12ab ,

-> 4a^2 +8ab +4b^2,

Now taking 4 as common from the equation,

-> 4(a^2 + 2ab + b^2),———equation(1)

Using this in equation (1)->

(a+b)^2 = a^2 + 2ab + b^2, we get

-> 4 ((a+b)^2),

Now given a+b =4,

So 4(4)^2,

Ans is :- 64,

By using formula we can easily calculate the value of equation..

Happy Algebra :)