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Multiply. Write your answer in simplest form. $\newline$ $\frac{4g^2 - 5g}{7} \times 6$

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Multiply and divide rational expressions

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Q. Multiply. Write your answer in simplest form.

\newline

\frac{4g^2 - 5g}{7} \times 6

Identify expression: Identify the expression to be multiplied and rewrite it clearly. The expression is $(4g^2 - 5g)/7$ multiplied by $6$ .
Multiply numerator by $6$ : Multiply the numerator of the fraction by $6$ . This gives us $(4g^2 - 5g) \times 6$ .
Distribute $6$ to terms: Distribute the $6$ to both terms in the numerator. This results in $6 \times 4g^2 - 6 \times 5g$ , which simplifies to $24g^2 - 30g$ .
Maintain denominator: Since the denominator is $7$ and we have not changed it, the new expression is $(24g^2 - 30g)/7$ .
Check for common factors: Check if the numerator and denominator have any common factors that can be simplified. In this case, both terms in the numerator have a common factor of $6$ , but $7$ does not share this factor, so the expression is already in simplest form.

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