Questions: -15 m^3 + 10 m^2 ÷ 5 m^2

-15 m^3 + 10 m^2 ÷ 5 m^2
Transcript text: \[ -15 m^{3}+10 m^{2} \div 5 m^{2} \]
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Solution

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Solution Steps

Step 1: Identify the terms in the expression

The given expression is: \[ -15 m^{3} + 10 m^{2} \div 5 m^{2} \] This consists of two terms: \(-15 m^{3}\) and \(10 m^{2} \div 5 m^{2}\).

Step 2: Simplify the division part

Simplify \(10 m^{2} \div 5 m^{2}\): \[ 10 m^{2} \div 5 m^{2} = \frac{10 m^{2}}{5 m^{2}} = 2 \]

Step 3: Rewrite the expression with the simplified term

Replace \(10 m^{2} \div 5 m^{2}\) with \(2\) in the original expression: \[ -15 m^{3} + 2 \]

Step 4: Final simplified form

The expression is already simplified as: \[ -15 m^{3} + 2 \]

Final Answer

\(-15 m^{3} + 2\)

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