How do you find the product #(2b+3)^2#?

1 Answer
Apr 13, 2017

Answer:

#4b^2+12b+9#

Explanation:

Using an example:

In the same way that #a^2=axxa" "#we have:

#(2b+3)^2" "=" "(2b+3)xx(2b+3)" "=" "(2b+3)(2b+3)#

Multiply everything inside the right brackets by every thing in the left.

#color(blue)((2b+3))color(green)((2b+3))" "->" "color(green)(color(blue)(2b)(2b+3)color(blue)(" "+" "3)(2b+3) )#
#" "->" "4b^2+6b" "+" "6b+9#

#" "->" "4b^2+12b+9#