How do you multiply #(x + 2)(x + 10)#?

1 Answer
George C.
Sep 10, 2016

#(x+2)(x+10) = x^2+12x+20#

Explanation:

If you find it helpful, you can use the FOIL mnemonic to help enumerate all the required combinations of one term from the first binomial and one from the second:

#(x+2)(x+10) = overbrace((x*x))^"First"+overbrace((x*10))^"Outside"+overbrace((2*x))^"Inside"+overbrace((2*10))^"Last"#

#color(white)((x+2)(x+10)) = x^2+10x+2x+20#

#color(white)((x+2)(x+10)) = x^2+12x+20#

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