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Simplify 12a2b / 4ab

Mathematics

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Answer

12a2b4ab=3a\frac{12a^2b}{4ab} = 3a

Step-by-step solution

4 steps

  1. Divide the numerical coefficients.

    124=3\frac{12}{4} = 3

  2. Simplify the variable aa using the rule xmxn=xm−n\frac{x^m}{x^n} = x^{m-n}.

    a2a=a2−1=a1=a\frac{a^2}{a} = a^{2-1} = a^1 = a

  3. Simplify the variable bb using the rule xmxn=xm−n\frac{x^m}{x^n} = x^{m-n}.

    bb=b1−1=b0=1\frac{b}{b} = b^{1-1} = b^0 = 1

  4. Combine the simplified parts.

    3⋅a⋅1=3a3 \cdot a \cdot 1 = 3a

    The simplified expression is:

    12a2b4ab=3a\frac{12a^2b}{4ab} = \boxed{3a}
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