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pogonyaev
1 year ago
10

Which is a factor of 144 - 49x²? O 12-7x² O 72-7x² O 12-7x O 72 + 7x

Mathematics
1 answer:
lisabon 2012 [21]1 year ago
4 0

Answer: C: 12-7x

Step-by-step explanation:

This expression is a good example of the difference of two squares, as 144 is the square of 12, while 49x² is the square of 7x.

Any difference of two squares a^2-b^2 can be factored into the sum of their square roots times the difference of their square roots (a+b)(a-b).

Let's factor our expression.

144-49x^2=(12+7x)(12-7x)

Out of all the options given, only 12-7x is a factor. Hence, option C is correct.

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