SOLUTION: How should I completely factor this expression? 144-9p^2 Thanks

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Question 1062328: How should I completely factor this expression?

144-9p^2

Thanks
Found 4 solutions by Alan3354, math_helper, ikleyn, MathTherapy:
Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
144-9p^2
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You can factor out a 9 first.
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It's a difference of 2 squares.

Know that.
Answer by math_helper(2461)   (Show Source): You can put this solution on YOUR website!
Notice that 144 is a perfect square (12*12)
and that 9p^2 is also a perfect square ((3p)(3p))...
When you have the form (i.e. the difference between two squares) you can factor it to (I encourage you to multiply (a+b)(a-b) out for yourself to see that you indeed get
If I let a=12 and b=3p:

—
Depending on how far you want to take it, a "3" can be factored out from each of the above factors:
= =
Answer by ikleyn(52863)   (Show Source): You can put this solution on YOUR website!
.
The shortcut quadratic multiplication formulas are


1. The square of the sum formula is                 .
      For details and examples of applications of this formula see the lesson The square of the sum formula


2. The square of the difference formula is     .
      For details and examples of applications of this formula see the lesson The square of the difference formula


3. The difference of squares formula is       .
      For details and examples of applications of this formula see the lesson The difference of squares formula



Answer by MathTherapy(10556)   (Show Source): You can put this solution on YOUR website!

How should I completely factor this expression?

144-9p^2

Thanks
You MUST FACTOR out a GCF if there is one, and there is indeed one. It's 9.

You then get: . You now factor the DOTS (Difference of 2 squares). You would then have factored the binomial, COMPLETELY. 

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