Solve 4x(7x + y) - 5y(2x + 4y) | 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

$$4x(7x+y)-5y(2x+4y)$$

Evaluate

$28x^{2}-6xy-20y^{2}$

Solution Steps

Use the distributive property to multiply $4x$ by $7x+y$.

$$28x^{2}+4xy-5y\left(2x+4y\right)$$

Use the distributive property to multiply $-5y$ by $2x+4y$.

$$28x^{2}+4xy-10yx-20y^{2}$$

Combine $4xy$ and $-10yx$ to get $-6xy$.

$$28x^{2}-6xy-20y^{2}$$

Expand

$28x^{2}-6xy-20y^{2}$

Solution Steps

Use the distributive property to multiply $4x$ by $7x+y$.

$$28x^{2}+4xy-5y\left(2x+4y\right)$$

Use the distributive property to multiply $-5y$ by $2x+4y$.

$$28x^{2}+4xy-10yx-20y^{2}$$

Combine $4xy$ and $-10yx$ to get $-6xy$.

$$28x^{2}-6xy-20y^{2}$$