Question

# How can you use polynomial identities to factor polynomials and simplify numerical expressions ? 12^{3} + 2^{3}

Hint:

### where a and b can be real values, variables or multiples of both.

We are asked to explain on how the polynomial identities can be used to factorize polynomials and simplify them.

## The correct answer is: = 1736

Step 1 of 2:

Factoring a polynomial is the process of decomposing a polynomial into a product of two or more polynomials. This can be done with the help of identities, which would speed up the process and make it simple.

Here, the given expression is 12^{3} + 2^{3} where a=12 and b=2

Step 2 of 2:

Now, substitute the values in the identity, to factorize:

This can also be done by finding the cube of each values and adding them. But that might be time consuming. Hence, we use these identities.

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