Question

multiply the polynomials.
(10 - 2y)(-4y + 7) = \square

Explanation:

Step1: Apply distributive property (FOIL)

Multiply the First terms: \(10\times(-4y)= -40y\)
Multiply the Outer terms: \(10\times7 = 70\)
Multiply the Inner terms: \(-2y\times(-4y)=8y^{2}\)
Multiply the Last terms: \(-2y\times7=-14y\)

Step2: Combine like terms

Combine the \(y\) terms: \(-40y-14y=-54y\)
The polynomial becomes \(8y^{2}-54y + 70\)

Answer:

\(8y^{2}-54y + 70\)