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

Related problems in "Algebra"

We need to find the coefficient of $x^2y^9$ in the expansion of $(3x+4y)^{11}$.

Binomial TheoremPolynomial ExpansionCombinationsCoefficients
2025/6/18

Simplify the expression $\frac{(3x+4y)^{11}}{x^5 y^6}$.

Binomial TheoremPolynomialsAlgebraic SimplificationExponents
2025/6/18

Given that $x^2 + y^2 + xy = 0$, we want to find the value of $(\frac{x-y}{x})^{80} + (\frac{x-y}{y}...

Complex NumbersCube Roots of UnityAlgebraic ManipulationPolynomial Equations
2025/6/18

The problem consists of two questions. Question 1 asks to evaluate five expressions involving expone...

ExponentsExponential EquationsSimplification
2025/6/18

The problem has two parts. Part a: Sketch the graph of the function $y = (1+x)(x-3)$. Part b: Find t...

Quadratic FunctionsGraphingInequalitiesLinear Equations
2025/6/18

The problem consists of two parts. Part a requires sketching the graph of the function $y = (1+x)(x-...

Quadratic FunctionsGraphingInequalitiesMinimum ValueParabola
2025/6/18

The problem is divided into two parts. The first part asks to sketch the graph of the function $y = ...

Quadratic FunctionsGraphingInequalitiesLinear EquationsCoordinate GeometryVertex of a ParabolaMinimum Value
2025/6/17

The problem consists of two parts. Part 1: Convert the given matrix $\begin{bmatrix} 5 & -7 & 1 \\ 6...

Linear AlgebraMatricesDeterminantsMatrix Transformations
2025/6/17

The problem presents three separate mathematical questions: 1. Find a number that when multiplied b...

Linear EquationsWord ProblemsAge ProblemsRectangle Perimeter
2025/6/17

Sophat is 51 years old, and Rasmei is 21 years old. In how many years will Sophat be twice the age o...

Age ProblemsLinear EquationsWord Problems
2025/6/17