Question

multiply.
(5x - 2)(5x + 1)
simplify your answer.

Explanation:

Step1: Apply the distributive property (FOIL method)

Multiply the First terms: \(5x \times 5x = 25x^2\)
Multiply the Outer terms: \(5x \times 1 = 5x\)
Multiply the Inner terms: \(-2 \times 5x = -10x\)
Multiply the Last terms: \(-2 \times 1 = -2\)
So, \((5x - 2)(5x + 1)=25x^2 + 5x - 10x - 2\)

Step2: Combine like terms

Combine the \(x\)-terms: \(5x - 10x = -5x\)
So, the simplified expression is \(25x^2 - 5x - 2\)

Answer:

\(25x^2 - 5x - 2\)