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question express as a trinomial. (3x - 10)(3x - 5)

Question

question
express as a trinomial.
(3x - 10)(3x - 5)

Explanation:

Step1: Apply the distributive property (FOIL method)

Multiply the First terms: \(3x \times 3x = 9x^2\)
Multiply the Outer terms: \(3x \times (-5) = -15x\)
Multiply the Inner terms: \(-10 \times 3x = -30x\)
Multiply the Last terms: \(-10 \times (-5) = 50\)

Step2: Combine like terms

Combine the \(x\) terms: \(-15x - 30x = -45x\)
Now, put it all together: \(9x^2 - 45x + 50\)

Answer:

\(9x^2 - 45x + 50\)