The problem asks us to multiply $2.9m$ by $(m-6)$. This involves using the distributive property.

AlgebraAlgebraic ExpressionsDistributive PropertyPolynomials
2025/5/5

1. Problem Description

The problem asks us to multiply 2.9m2.9m by (m6)(m-6). This involves using the distributive property.

2. Solution Steps

We need to distribute 2.9m2.9m to both terms inside the parentheses (m6)(m-6).
2.9m(m6)=2.9mm2.9m62.9m(m-6) = 2.9m \cdot m - 2.9m \cdot 6
First, multiply 2.9m2.9m by mm:
2.9mm=2.9m22.9m \cdot m = 2.9m^2
Next, multiply 2.9m2.9m by 66:
2.9m6=2.96m=17.4m2.9m \cdot 6 = 2.9 \cdot 6 \cdot m = 17.4m
Therefore,
2.9m(m6)=2.9m217.4m2.9m(m-6) = 2.9m^2 - 17.4m

3. Final Answer

2.9m217.4m2.9m^2 - 17.4m

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