Question

question
express as a trinomial.
$(x + 5)(x - 3)$

Explanation:

Step1: Apply the distributive property (FOIL method)

To expand \((x + 5)(x - 3)\), we use the FOIL method, which stands for First, Outer, Inner, Last.
First: \(x \times x = x^2\)
Outer: \(x \times (-3) = -3x\)
Inner: \(5 \times x = 5x\)
Last: \(5 \times (-3) = -15\)
So, \((x + 5)(x - 3)=x^2 - 3x + 5x - 15\)

Step2: Combine like terms

We combine the like terms \(-3x\) and \(5x\).
\(-3x + 5x = 2x\)
So, \(x^2 - 3x + 5x - 15 = x^2 + 2x - 15\)

Answer:

\(x^2 + 2x - 15\)