Can I get some help on this one I need to know if I got the right answer on this equation.

Factor. v^2+12v+36 my answer was (v+6)^2

Can you check this for me.

correct.

thanks

Sure, I can help you with that!

To factor the given expression v^2 + 12v + 36, we need to look for two numbers that add up to 12 and multiply to give 36. Since both 6 and 6 fit these conditions, we can rewrite the expression as:

v^2 + 6v + 6v + 36

Next, we group the terms and factor by grouping:

(v^2 + 6v) + (6v + 36)

Now, we factor out the greatest common factor from each group:

v(v + 6) + 6(v + 6)

Notice that both groups have a common factor of (v + 6). We can now factor out this common factor:

(v + 6)(v + 6)

Finally, we can simplify the expression by recognizing that (v + 6)(v + 6) is equivalent to (v + 6)^2.

Therefore, your answer of (v + 6)^2 is correct. Well done!