Simplify:
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Simplify:
Let's simplify the given expression:
Remember that we can reduce complete expressions only when both the numerator and denominator are completely factored into multiplication expressions,
For this, we'll use factorization, identify where in the denominator we can factor out a common factor, do this, then reduce the expressions possible in the fraction we get (reduction sign):
In the first stage, to factor out the common factor in the denominator, we also used the law of exponents:
Therefore, the correct answer is answer B.
Determine if the simplification shown below is correct:
\( \frac{7}{7\cdot8}=8 \)
You absolutely should! That's the first step. Combine like terms to get . But this doesn't match any answer choice, so there might be a typo in the original problem.
Yes, that appears to be a typo! The explanation factors , which would give the correct answer .
You can only cancel factors (terms connected by multiplication) that appear in both the numerator and denominator. Never cancel terms that are added or subtracted!
Then the fraction is already in simplest form! Not every fraction can be reduced further. Always check for common factors first by factoring completely.
Yes! Start by finding the Greatest Common Factor in each polynomial. This makes it easier to spot what can be canceled between numerator and denominator.
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