Question

(a^2 - 12)^3

Please answer quickly. need it urgently. ​

Answer 1

Step-by-step explanation:

Given:-

(a^2 - 12)^3

To find:-

Simplify (a^2 - 12)^3?

Solution:-

Given expression is (a^2 - 12)^3

It is in the form of (a-b)^3

Where , a = a^2 and b = 12

We know that

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

On applying this formula to the given expression

=> (a^2 - 12)^3

=> (a^2)^3 -3(a^2)^2(12)+3(a^2)(12)^2-(12)^3

=> a^6-3(12)(a^4)+(3)a^2)(144)-1728

=>a^6-36a^4+432a^2-1728

Answer:-

(a^2 - 12)^3 = a^6-36a^4+432a^2-1728

Used formulae:-

• (a-b)^3 = a^3-3a^2b+3ab^2-b^3
• (a^m)^n = a^mn