Question

multiply.
(2 - 5x)(8 - 3x)
simplify your answer.

Explanation:

Step1: Apply the distributive property (FOIL method)

Multiply the First terms: \(2\times8 = 16\)
Multiply the Outer terms: \(2\times(-3x)=-6x\)
Multiply the Inner terms: \(-5x\times8=-40x\)
Multiply the Last terms: \(-5x\times(-3x) = 15x^{2}\)

Step2: Combine like terms

Combine the \(x\) terms: \(-6x-40x=-46x\)

Step3: Write the simplified expression

Putting it all together: \(15x^{2}-46x + 16\)

Answer:

\(15x^{2}-46x + 16\)