Q. Simplify. Express your answer as a single fraction in simplest form. 4ab2−6b
Find Common Denominator: First, we need to find a common denominator to combine the terms into a single fraction. The first term has a denominator of 4, and the second term, which is not a fraction, can be thought of as having a denominator of 1. To combine these, we can write the second term with a denominator of 4 by multiplying both the numerator and the denominator by 4.
Rewrite with Common Denominator: Now, we rewrite the expression with a common denominator:(4ab2)−(46b×4)This gives us:(4ab2)−(424b)
Combine Fractions: Next, we combine the fractions by subtracting the numerators and keeping the common denominator: (ab2−24b)/4
Factor Out Common Factor: We check if the numerator can be simplified further. In this case, there is a common factor of b that can be factored out: 4b(ab−24)
Final Simplified Form: Since there are no common factors between the numerator and the denominator that can be canceled out, this is the simplest form of the fraction.
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