Question

How do you find the product of `(5a-2)(2a-3)`?

Answer 1

`10a^2-19a+6`

Explanation:

When we multiply binomials, we can use the mnemonic FOIL, standing for Firsts, Outsides, Insides, Lasts. This is the order we multiply in.

• Multiply the first terms: `5a*2a=10a^2`
• Multiply the outside terms: `5a*-3=-15a`
• Multiply the inside terms: `-2*2a=-4a`
• Multiply the last terms: `-2*-3=6`

Putting it all together, we get

`10a^2-15a-4a+6`, which simplifies to

`10a^2-19a+6`

Hope this helps!