Question

How do you find the product of `3p^4(4p^4+7p^3+4p+1)`?

Answer 1

`12p^8 + 21p^7 + 12p^5 + 3p^4`

Explanation:

Multiply `3p^4` by each term in parenthesis:

`(3p^4*4p^4) + (3p^4*7p^3) + (3p^4*4p) + (3p^4*1) ->`

`(3p^4*4p^4) + (3p^4*7p^3) + (3p^4*4p^1) + (3p^4*1) ->`

Then multiply the numbers and the `x` terms using the rules for exponents:

`12p^(4+4) + 21p^(4+3) + 12p^(4+1) + 3p^4 ->`

`12p^8 + 21p^7 + 12p^5 + 3p^4`