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400-36v^2 can someone find the factor?

Sagot :

Answer:

-4(3v - 10)(3v + 10)

Step-by-step explanation:

You must find the factored form of 400 - 36v^2.

You can rearrange this to - 36v^2 + 400 to make it less confusing.

So you have - 36v^2 + 400.

The next step is to see what you can take out of this. You can take out a GCF, a greatest common factor. This is basically a number that goes into both 36 and 400. This number is 4.

36 / 4 = 9 and 400 / 4 = 100.

Since it is a negative 36, you need to take out a negative 4.

So you put a 4 outside parenthesis and divide - 36 / 4 and 400 / 4.

-4(9v^2 - 100).

Now you must factor the inside of the parenthesis.

9v^2 - 100.

This is the same as 9v^2 + 0v - 100.

What are 2 numbers that multiply to get -100 and add to get 0?

These numbers are -10 and +10.

2 terms that multiply together get 9v^2 are 3v and 3v.

So the answer is:

-4(3v - 10)(3v + 10).

This is the factored form.

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