Solve 6a(7b-4)-4(8ab-4b) | Equatix - Math Solver

Fractions & Decimals

Ratios & Proportions

Basic Number Theory

Integers & Absolute Values

Factors & Multiples

Prime Factorization

Basic Equations & Inequalities

Coordinate Plane & Graphing

Linear Equations & Inequalities

Quadratic Equations

Polynomials & Factoring

Functions & Graphs

Systems of Equations

Trigonometric Functions

Trigonometric Identities & Equations

Right Triangle Trigonometry

Graphing Trigonometric Functions

Limits & Continuity

Derivatives & Applications

Integrals & Applications

Series & Sequences

Multivariable Calculus

Functions & Graphs

Polynomial & Rational Functions

Exponential & Logarithmic Functions

Sequences & Series

Descriptive Statistics

Normal Distribution

Hypothesis Testing

Regression Analysis

Linear Programming

Sets & Counting

Eigenvalues & Eigenvectors

Linear Transformations

Atomic Structure

Thermochemistry

Example

3(r+2s)=2t-4

a⋅(b-2)=3b

3(r+2s)=2t-4

a⋅(b-2)=3b

Question

$$6a(7b-4)-4(8ab-4b)$$

Evaluate

$10ab-24a+16b$

Solution Steps

Use the distributive property to multiply $6a$ by $7b-4$.

$$42ab-24a-4\left(8ab-4b\right)$$

Use the distributive property to multiply $-4$ by $8ab-4b$.

$$42ab-24a-32ab+16b$$

Combine $42ab$ and $-32ab$ to get $10ab$.

$$10ab-24a+16b$$

Expand

$10ab-24a+16b$

Solution Steps

Use the distributive property to multiply $6a$ by $7b-4$.

$$42ab-24a-4\left(8ab-4b\right)$$

Use the distributive property to multiply $-4$ by $8ab-4b$.

$$42ab-24a-32ab+16b$$

Combine $42ab$ and $-32ab$ to get $10ab$.

$$10ab-24a+16b$$