Question

How do you find the product of `(6x + 3) (8x + 7)`?

Answer 1

`48x^2+66x+21`

Explanation:

We can multiply these binomials with the extremely useful mnemonic FOIL:

• Multiply the first terms:`6x` and `8x` to get `48x^2`
• Multiply the outside terms:`6x` and `7` to get `42x`
• Multiply the inside terms:`3` and `8x` to get `24x`
• Multiply the last terms:`3` and `7` to get `21`

We add our result to get:

`48x^2+42x+24x+21`

Which is equal to:

`48x^2+66x+21`