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

1 Answer
Mar 19, 2018

Answer:

#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#