Question

question
express as a trinomial.
$(x + 8)(2x - 10)$

Explanation:

Step1: Apply the distributive property (FOIL method)

Multiply the First terms: \(x \times 2x = 2x^2\)
Multiply the Outer terms: \(x \times (-10) = -10x\)
Multiply the Inner terms: \(8 \times 2x = 16x\)
Multiply the Last terms: \(8 \times (-10) = -80\)
So, \((x + 8)(2x - 10)=2x^2-10x + 16x-80\)

Step2: Combine like terms

Combine the \(x\)-terms: \(-10x + 16x = 6x\)
So the expression becomes \(2x^2+6x - 80\)

Answer:

\(2x^2 + 6x - 80\)