Q. 268 - Intermediate Algebra

Question

In the following exercises , simplify the equation $\left(5x\hspace{0.17em}-\hspace{0.17em}y\right)\left(x\hspace{0.17em}-\hspace{0.17em}4\right)$.

Step-by-Step Solution

Answer

The simplified expression is $5x^2-20x-xy+4y$.

Step 1. Given Information.

The expression is $\left(5x\hspace{0.17em}-\hspace{0.17em}y\right)\left(x\hspace{0.17em}-\hspace{0.17em}4\right)$.

Step 2. Simplify given equation.

Solving $\left(5x\hspace{0.17em}-\hspace{0.17em}y\right)\left(x\hspace{0.17em}-\hspace{0.17em}4\right)$

Applying Foil Rule:-

$$\begin{gathered} \left(a+b\right)\left(c+d\right)=ac+ad+bc+bd \\ \left(5x-y\right)\left(x-4\right)=5xx+5x\left(-4\right)-yx-y\left(-4\right) \\ 5xx+5x\left(-4\right)-yx-y\left(-4\right)=5x^2-20x-xy+4y \end{gathered}$$