Solve (3x+7)^ 2 -; (2x + 9) | 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

$$(3x+7)^{2}-; (2x+9)$$

Evaluate

$\left(3x+7\right)^{2}-11$

Solution Steps

Use binomial theorem $\left(a+b\right)^{2}=a^{2}+2ab+b^{2}$ to expand $\left(3x+7\right)^{2}$.

$$9x^{2}+42x+49-\left(2+9\right)$$

Add $2$ and $9$ to get $11$.

$$9x^{2}+42x+49-11$$

Subtract $11$ from $49$ to get $38$.

$$9x^{2}+42x+38$$

Expand

$9x^{2}+42x+38$

Solution Steps

Use binomial theorem $\left(a+b\right)^{2}=a^{2}+2ab+b^{2}$ to expand $\left(3x+7\right)^{2}$.

$$9x^{2}+42x+49-\left(2+9\right)$$

Add $2$ and $9$ to get $11$.

$$9x^{2}+42x+49-11$$

Subtract $11$ from $49$ to get $38$.

$$9x^{2}+42x+38$$