Question

Find the cube of: ab²-C²​

Answer 1

Given,

The given algebraic expression = (ab²-c²)

To find,

The cube of the given algebraic expression.

Solution,

We can simply solve this mathematical problem by using the following mathematical process.

For the sake of easier calculations,

Let, ab² = x and c² = y

So,

Given term = (x-y)

We need cube of the given term.

Which will be,

= (x-y)³

Now, applying the mathematical formula of the given (x-y)³, we get

(x-y)³ = x³-3x²y+3xy²-y³ = (ab²)³-{3×(ab²)²×c²}+{3×(ab²)×(c²)²}-(c²)³ [Substituting with the real values, which are given in the question.] = (a³b⁶-3a²b⁴c²+3ab²c⁴-c⁶)

(This will be considered as the final answer.]

Hence, the cube will be (a³b⁶-3a²b⁴c²+3ab²c⁴-c⁶)