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:

Define perfect square trinomial

A perfect square trinomial is an algebraic expression of the form:

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

or

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

Evaluate the first option

$$ (3x - 5)(3x - 5) = (3x - 5)^2 = 9x^2 - 30x + 25 $$

Evaluate the remaining options

$$
LATEXBLOCK0
$$

Answer:

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