Please Perform the indicated operations and simplify

Question

(8n-3)(7n^2+5n-5)

Please if you can show the steps to this so I understand thanks much

Answer 1

This is fairly simple polynomial multiplication. I think the best method is to write the longer polynomial factor on top, andthe shorter factor directly beneath.

 

Then start at the leftmost term on the second line & multiply it by everything above it--this will produce three terms.

Then advance to the following term on the second line multiply it by everything above it--this will produce three terms also, AND YOU CAN WRITE THEM ON A NEW LINE, below the prior three terms just produced, so that you have short columns of "like" (identical exponented) terms. This is fairly simple; the 2nd line of product terms will essentially be indented one place to the right of the terms above, so that like terms align in columns.

 

The answer then is the column-summed polynomial.  I'm fairly sure that there are good examples of how to do this available online...and of course, good textbooks in Algebra (especially pre-Common Core), ought to be consulted.