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Express as a trinomial.

(2x-10)(3x-5)
Answer:

Express as a trinomial.\newline(2x10)(3x5) (2 x-10)(3 x-5) \newlineAnswer:

Full solution

Q. Express as a trinomial.\newline(2x10)(3x5) (2 x-10)(3 x-5) \newlineAnswer:
  1. Apply Distributive Property: Apply the distributive property (also known as the FOIL method) to multiply the two binomials (2x10)(2x-10) and (3x5)(3x-5).(2x10)(3x5)=2x(3x)+2x(5)+(10)(3x)+(10)(5)(2x-10)(3x-5) = 2x(3x) + 2x(-5) + (-10)(3x) + (-10)(-5)
  2. Perform Multiplication: Perform the multiplication for each term.\newline2x(3x)=6x22x(3x) = 6x^2\newline2x(5)=10x2x(-5) = -10x\newline(10)(3x)=30x(-10)(3x) = -30x\newline(10)(5)=50(-10)(-5) = 50
  3. Combine Like Terms: Combine like terms.\newline6x210x30x+506x^2 - 10x - 30x + 50\newline6x240x+506x^2 - 40x + 50

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