Question

Find the product


(2x+3)(2x+3)

Answer 1

`4 x ^ 2 + 1 2 x + 9`

Explanation:

We are given the following expression and we are to find the product:

`( 2 x + 3 ) ( 2 x + 3 )`

So we basically need to expand the given expression by opening the brackets and multiplying each terms with all other terms.

`( 2 x + 3 ) ( 2 x + 3 ) [\tex]</p><p>[tex]4x^2+6x+6x+9`

`4x^2+12x+9`

Answer 2

`4x^(2)+12x+9`

Explanation:

We can use the square property to find the product or just use the distributive property to find the given product. Result will be the same in both cases.

Using the square property:

`(a+b)^(2)=a^(2)+2ab+b^(2)`

Using this rule on given expression, we get:

`(2x+3)(2x+3)\\\\ =(2x+3)^(2)\\\\ =(2x)^(2)+2(2x)(3)+(3)^(2)\\\\ =4x^(2)+12x+9`

Thus the product of given expression is:
`4x^(2)+12x+9`