Find the distance between (3, 1) and (-2, 7)

6.08

3.32

7.81

5.92

7.81

Step-by-step explanation:

You may calculate the distance between two points with the following formula:

D= √((X₂-X₁)² + (Y₂-Y₁)²

Then, considering the given points:

P1: (3,1)    P2: (-2,7)

You only have to replace those poins into the given formula:

D=√(-2-3)²+(7-1)²

Which will give us the final distance between above points: D=7.81

I see that 12 shows up in 2 terms and 8 shows up in a different 2 terms.  This is a pretty good bet for factoring by grouping.

12d^3+12d^2-8d-8 = 12(d^2)(d+1) - 8(d+1)

d+1 is common to both terms of this expression?  Also note that 12 = 3*4 and 8 = 2*4, so 4 is another factor common to both terms.

Thus we have (4)(d+1) [ 3d^2 - 2]