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How do you multiply #2/(25x^2)*(5x)/12div2/(15x)#?

Answer 1

#2/(25x^2)*(5x)/12color(red)(div2/(15x))" "larr div# changes to multiply

#=cancel2/(cancel25^5x^2)xx(cancel5x)/cancel12^4 color(red)(xx(cancel15^5x)/cancel2)" "larr# cancel numbers, using 2,3,5

#=(cancel5xx cancel(x^2))/(cancel5xx4xx cancel(x^2))" "larr#multiply variables and simplify

#=1/4#

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Answer 2

Eva Abramson

To multiply the given expression, you can follow these steps:

Simplify each fraction separately:
- Simplify 2/(25x^2) to 2/25x^2.
- Simplify 5x/12 to 5x/12.
Multiply the numerators together: (2/25x^2) * (5x/12) = (2 * 5x) / (25x^2 * 12).
Multiply the denominators together: 2/(25x^2) * 5x/12 = (25x^2 * 12).
Simplify the resulting expression if possible. In this case, the numerator cannot be simplified further, but the denominator can be simplified to 300x^2.

Therefore, the final answer is (10x) / (300x^2), which can be further simplified to 1 / (30x).

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.