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Question:

\(\frac{\mathrm{b+c} }{\mathrm{a} } = \frac{\mathrm{b} }{\mathrm{a} } + \frac{\mathrm{c} }{\mathrm{a} } \) defines which of the following?

A distributive property for division
explanation

The distributive property for division helps in solving expressions like \(\frac{\mathrm{b+c} }{\mathrm{a} }\) . It specifies that the result of dividing a fraction with multiple terms in the numerator and one term in the denominator can be obtained by dividing each term individually and then totaling the results: \(\frac{\mathrm{b+c} }{\mathrm{a} } = \frac{\mathrm{b} }{\mathrm{a} } + \frac{\mathrm{c} }{\mathrm{a} }\) . For example, \(\frac{\mathrm{ a^3+6 a^2 } }{\mathrm{ a^2 } } = \frac{\mathrm{ a^3 } }{\mathrm{ a^2 } } + \frac{\mathrm{6 a^2 } }{\mathrm{ a^2 } } = a+6\).