How do you multiply #(6a + b)^2#?

1 Answer
Apr 6, 2018

Answer:

#36^2 + 12ab + b^2#

Explanation:

#(6a + b)^2# is the same as saying #(6a + b)(6a + b)#.

We will use the mnemonic #"FOIL"# to solve this equation. #"FOIL"# stand for:
#color(blue)"F"#irsts
#color(purple)"O"#uters
#color(brown)"I"#nners
#color(green)"L"#asts

https://math.tutorvista.com/algebra/foil-method.html

#(6a + b)(6a + b)#

Firsts: #6a xx 6a rarr color(blue)"36a"^color(blue)2#

Outers: #6a xx b rarr color(purple)"6ab"#

Inners: #b xx 6a rarr color(brown)"6ab"#

Lasts: #b xx b rarr color(green)b^color(green)2#

Now put them all together and simplify:

#36^2 + 6ab + 6ab + b^2#

#36^2 + 12ab + b^2#