Question

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

Answer 1

`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`