Question

What is the product (4s+2)(5s^2+10s+3)

Answer 1

20s^3 + 40s^2 + 12s + 10s^2 + 20s + 6
20s^3 + 50s^2 + 32s + 6

Answer 2

`20s^3+50s^2+32s+6`

Explanation:

we have been given the function
`\left(4s+2\right)\left(5s^2+10s+3\right)`

So, as to multiply the two expression step by step calculation is shown below:

First of all we will open the parenthesis

`4s\cdot \:5s^2+4s\cdot \:10s+4s\cdot \:3+2\cdot \:5s^2+2\cdot \:10s+2\cdot \:3`

`4\cdot \:5s^2s+4\cdot \:10ss+4\cdot \:3s+2\cdot \:5s^2+2\cdot \:10s+2\cdot \:3`

After simplification we will get the following:

`4\cdot \:5s^2s+4\cdot \:10ss+4\cdot \:3s+2\cdot \:5s^2+2\cdot \:10s+2\cdot \:3:\quad 20s^3+50s^2+32s+6`

After further simplification we will get

`20s^3+50s^2+32s+6`