Question

multiplicar.
(5c - 3d)(3c - 8d)
simplificar la respuesta.

Explanation:

Step1: Apply distributive property (FOIL)

Multiply the First terms: \(5c \times 3c = 15c^2\)
Multiply the Outer terms: \(5c \times (-8d) = -40cd\)
Multiply the Inner terms: \(-3d \times 3c = -9cd\)
Multiply the Last terms: \(-3d \times (-8d) = 24d^2\)

Step2: Combine like terms

Combine the \(cd\) terms: \(-40cd - 9cd = -49cd\)

Step3: Write the simplified expression

Combine all terms: \(15c^2 - 49cd + 24d^2\)

Answer:

\(15c^2 - 49cd + 24d^2\)