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Express as a trinomial.

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

Express as a trinomial.\newline(3x3)(2x5) (3 x-3)(2 x-5) \newlineAnswer:

Full solution

Q. Express as a trinomial.\newline(3x3)(2x5) (3 x-3)(2 x-5) \newlineAnswer:
  1. Simplify Multiplications: Now, we will simplify each multiplication.\newline3x(2x)=6x23x(2x) = 6x^2 (First)\newline3x(5)=15x3x(-5) = -15x (Outer)\newline3(2x)=6x-3(2x) = -6x (Inner)\newline3(5)=15-3(-5) = 15 (Last)
  2. Combine Like Terms: Next, we combine like terms from the results of the multiplications. 6x215x6x+156x^2 - 15x - 6x + 15
  3. Combine X Terms: Combine the xx terms to simplify further.6x215x6x+15=6x221x+156x^2 - 15x - 6x + 15 = 6x^2 - 21x + 15
  4. Express as Trinomial: We have now expressed the product of 3x33x-3 and 2x52x-5 as a trinomial.\newlineThe final answer is 6x221x+156x^2 - 21x + 15.

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