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!