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Express as a trinomial.

(2x-5)(3x-5)
Answer:

Express as a trinomial.\newline(2x5)(3x5) (2 x-5)(3 x-5) \newlineAnswer:

Full solution

Q. Express as a trinomial.\newline(2x5)(3x5) (2 x-5)(3 x-5) \newlineAnswer:
  1. Apply Distributive Property: Apply the distributive property (also known as the FOIL method) to multiply the two binomials (2x5)(2x-5) and (3x5)(3x-5).(2x5)(3x5)=2x(3x)+2x(5)+(5)(3x)+(5)(5)(2x-5)(3x-5) = 2x(3x) + 2x(-5) + (-5)(3x) + (-5)(-5)
  2. Perform Multiplication: Perform the multiplication for each term.\newline2x(3x)=6x22x(3x) = 6x^2\newline2x(5)=10x2x(-5) = -10x\newline(5)(3x)=15x(-5)(3x) = -15x\newline(5)(5)=25(-5)(-5) = 25
  3. Combine Like Terms: Combine like terms.\newline6x210x15x+256x^2 - 10x - 15x + 25\newline6x225x+256x^2 - 25x + 25

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