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

Mar 19, 2018

$48 {x}^{2} + 66 x + 21$

#### Explanation:

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

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

We add our result to get:

$48 {x}^{2} + 42 x + 24 x + 21$

Which is equal to:

$48 {x}^{2} + 66 x + 21$