Simplify the following expression:
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Simplify the following expression:
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 that in the numerator we can factor out a common term, do this, then reduce the expressions possible in the resulting fraction:
Therefore, the correct answer is answer B.
Determine if the simplification shown below is correct:
\( \frac{7}{7\cdot8}=8 \)
You can only cancel complete factors, not individual terms! The numerator 18x² - 9x is a sum, not a product, so you must factor it first to see what can actually be canceled.
An expression is completely factored when it's written as a product of factors that cannot be factored further. Look for common factors to pull out first, like 9x from 18x² - 9x.
That's fine! In this problem, after factoring the numerator as , the factor (2x-1) cancels with the denominator, leaving just 9x.
No! 9x is the completely simplified form. There are no more common factors between what remains in the numerator and denominator to cancel out.
When x = 1/2, the denominator 2x - 1 = 0, making the original expression undefined. Always remember that simplified expressions maintain the same domain restrictions as the original!
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