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Simplify. Write your answer using whole numbers and variables. $\newline$ $\frac{3d^2 - 10d}{7d}$

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Simplify radical expressions: mixed review

Full solution

Q. Simplify. Write your answer using whole numbers and variables.

\newline

\frac{3d^2 - 10d}{7d}

Identify and simplify like terms: Identify like terms and simplify the expression. $\newline$ The expression given is $3d^2 - \frac{10d}{7d}$ . We can simplify the fraction $\frac{10d}{7d}$ by dividing both the numerator and the denominator by $d$ .
Simplify the fraction: Simplify the fraction $\frac{10d}{7d}$ . $\frac{10d}{7d} = \left(\frac{10}{7}\right)\left(\frac{d}{d}\right) = \frac{10}{7}$ , because $\frac{d}{d} = 1$ .
Rewrite with simplified fraction: Rewrite the expression with the simplified fraction. $\newline$ The expression now becomes $3d^2 - \frac{10}{7}.$
Check for further simplifications: Check if there are any more simplifications possible. $\newline$ Since $3d^2$ and $\frac{10}{7}$ do not have any like terms, we cannot simplify the expression further.

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