We are asked to simplify the expression $(x+4)^2 + (3x+2)(x-8)$.
2025/3/17
1. Problem Description
We are asked to simplify the expression .
2. Solution Steps
First, we expand :
Next, we expand :
Now, we add the two expressions:
Related problems in "Algebra"
The problem asks us to find the value of $x$ given that the perimeter $P$ of the trapezoid is 41 yar...
PerimeterTrapezoidLinear EquationsSolving Equations
2025/4/6
The problem describes a rectangle with length $3n+2$ and width $n-1$. The perimeter of the rectangle...
PerimeterRectangleLinear Equations
2025/4/6
The problem asks to write the equation of the given line in slope-intercept form, which is $y = mx +...
Linear EquationsSlope-intercept formSlopeY-interceptCoordinate Geometry
2025/4/6
The problem asks us to provide a two-column proof to show that if $25 = -7(y - 3) + 5y$, then $-2 = ...
Linear EquationsEquation SolvingProofProperties of Equality
2025/4/6
The problem asks to prove that if $25 = -7(y - 3) + 5y$, then $y = -2$.
Linear EquationsEquation SolvingSimplification
2025/4/6
The problem states that if $x = 5$ and $b = 5$, then we need to determine if $x = b$.
VariablesEqualitySubstitution
2025/4/6
The problem states that if $2x = 5$, then we need to find the value of $x$.
Linear EquationsSolving Equations
2025/4/6
Solve for $x$ in the equation $(\frac{1}{3})^{\frac{x^2 - 2x}{16 - 2x^2}} = \sqrt[4x]{9}$.
Exponents and RadicalsEquationsSolving EquationsCubic Equations
2025/4/6
We are given that $a$ and $b$ are whole numbers such that $a^b = 121$. We need to evaluate $(a-1)^{b...
ExponentsEquationsInteger Solutions
2025/4/6
The problem is to solve the equation $(x+1)^{\log(x+1)} = 100(x+1)$. It is assumed the base of the ...
LogarithmsEquationsExponentsSolving EquationsAlgebraic Manipulation
2025/4/6