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expand. your answer should be a polynomial in standard form. (1 - 5z)(2…

Question

expand.
your answer should be a polynomial in standard form.
(1 - 5z)(2 - 5z) =

Explanation:

Step1: Apply distributive property (FOIL)

Multiply the First terms: \(1\times2 = 2\)
Multiply the Outer terms: \(1\times(-5z)= -5z\)
Multiply the Inner terms: \(-5z\times2 = -10z\)
Multiply the Last terms: \(-5z\times(-5z)=25z^{2}\)

Step2: Combine like terms

Combine the middle terms: \(-5z - 10z=-15z\)
Now, put all terms together: \(25z^{2}-15z + 2\)

Answer:

\(25z^{2}-15z + 2\)