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Express as a trinomial.

(x-5)(x-8)
Answer:

Express as a trinomial.\newline(x5)(x8) (x-5)(x-8) \newlineAnswer:

Full solution

Q. Express as a trinomial.\newline(x5)(x8) (x-5)(x-8) \newlineAnswer:
  1. Apply Distributive Property: Apply the distributive property (also known as the FOIL method) to multiply the two binomials (x5)(x-5) and (x8)(x-8).(x5)(x8)=x(x)+x(8)5(x)5(8)(x-5)(x-8) = x(x) + x(-8) - 5(x) - 5(-8)
  2. Perform Multiplication: Perform the multiplication for each term.\newlinex(x)=x2x(x) = x^2\newlinex(8)=8xx(-8) = -8x\newline5(x)=5x-5(x) = -5x\newline5(8)=40-5(-8) = 40
  3. Combine Like Terms: Combine like terms.\newlinex28x5x+40x^2 - 8x - 5x + 40\newlinex213x+40x^2 - 13x + 40
  4. Write Final Trinomial: Write the final answer as a trinomial.\newlineThe product of (x5)(x-5) and (x8)(x-8) expressed as a trinomial is x213x+40x^2 - 13x + 40.

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