How do you find the product of #(9b+1)(5b+2)# using FOIL?

1 Answer
George C.
May 2, 2016

#(9b+1)(5b+2)=45b^2+23b+2#

Explanation:

FOIL = First + Outside + Inside + Last

is a useful mnemonic to help remember all of the combinations of terms you need to combine when multiplying two binomials.

#(9b+1)(5b+2)=overbrace((9b*5b))^"First" + overbrace((9b*2))^"Outside" + overbrace((1*5b))^"Inside" + overbrace((1*2))^"Last"#

#=45b^2+18b+5b+2#

#=45b^2+23b+2#

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