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(2x+3) ^2

Step-by-step explanation:

4x^2 + 12x+9

This is the sum of squares

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

let a = 2x  and b=3

a^2 = (2x) ^2 = 4x^2

2ab = 2*2x*3 = 12x

b^2 =9

so 4x^2 + 12x+9  factors into (2x+3) ^2

range =5

step-by-step explanation:

to find the range, we take the largest value and subtract the smallest value.

the largest value is 5

the smallest value is 0

the range is 5-0   =5