Question

multiply.
(3x - 5w)(7x - w)
simplify your answer.

Explanation:

Step1: Apply the distributive property (FOIL method)

Multiply the First terms: \(3x \times 7x = 21x^2\)
Multiply the Outer terms: \(3x \times (-w) = -3xw\)
Multiply the Inner terms: \(-5w \times 7x = -35xw\)
Multiply the Last terms: \(-5w \times (-w) = 5w^2\)

Step2: Combine like terms

Combine the \(xw\) terms: \(-3xw - 35xw = -38xw\)

Step3: Write the simplified expression

Combine all terms: \(21x^2 - 38xw + 5w^2\)

Answer:

\(21x^2 - 38xw + 5w^2\)