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

1 Answer
Apr 13, 2017

4b^2+12b+94b2+12b+9

Explanation:

Using an example:

In the same way that a^2=axxa" "a2=a×a we have:

(2b+3)^2" "=" "(2b+3)xx(2b+3)" "=" "(2b+3)(2b+3)(2b+3)2 = (2b+3)×(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) )(2b+3)(2b+3) 2b(2b+3) + 3(2b+3)
" "->" "4b^2+6b" "+" "6b+9 4b2+6b + 6b+9

" "->" "4b^2+12b+9 4b2+12b+9