Question

which will result in a perfect square trinomial?

(3x - 5)(3x - 5)
(3x - 5)(5 - 3x)
(3x - 5)(3x + 5)
(3x - 5)(-3x - 5)

Explanation:

Identify the definition of a perfect square trinomial

$$ (ax + b)^2 = a^2x^2 + 2abx + b^2 $$

$$ (ax - b)^2 = a^2x^2 - 2abx + b^2 $$

Evaluate the given options

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Determine the correct choice

$$ (3x - 5)(3x - 5) = (3x - 5)^2 $$

Answer:

• (A) \((3x-5)(3x-5)\) (Correct answer)
• (B) \((3x-5)(5-3x)\)
• (C) \((3x-5)(3x+5)\)
• (D) \((3x-5)(-3x-5)\)