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

Aug 2, 2018

$10 {a}^{2} - 19 a + 6$

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: $5 a \cdot 2 a = 10 {a}^{2}$
• Multiply the outside terms: $5 a \cdot - 3 = - 15 a$
• Multiply the inside terms: $- 2 \cdot 2 a = - 4 a$
• Multiply the last terms: $- 2 \cdot - 3 = 6$

Putting it all together, we get

$10 {a}^{2} - 15 a - 4 a + 6$, which simplifies to

$10 {a}^{2} - 19 a + 6$

Hope this helps!