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

1 Answer
Aug 2, 2018

Answer:

#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!