Difficult question please help me

Question

Multiply

{x^{2} - 49}{2x^{2} - 11x - 21} X {2x^{2} + x - 1}{x^{2} - 1}

Answer 1

If I were to solve that, I could easily make one or more careless errors that would be hard to catch. I think it better to focus on the procedure. Multiplying polynomials is exactly the same as multiplying multi-digit numbers---except that there is no carry.

A simple example:

( 4x + 5 ) * ( x - 3 )

First, recognize that (A+B) * C is the same thing as A*C + B*C

So, rewrite it as 4x ( x - 3 ) + 5 ( x - 3 )

4x² - 12x + 5x - 15

which simplifies to:

4x² - 7x - 15

If you now want to multiply this by another polynominal, use the same procedure. If you have 3 polynomials to multiply, start by multiplying the first 2, simplify the answer, and then multiply by the 3rd.