Question

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Explanation:

Identify the pattern of difference of squares

Using the Polynomial Multiplication knowledge point

$$ (a-b)(a+b) = a^2 - b^2 $$

Analyze the first visible option

Using the Polynomial Multiplication knowledge point

$$ (w-2.5)(w+2.5) = w^2 - 2.5^2 = w^2 - 6.25 $$

Analyze the second visible option

Using the Polynomial Multiplication knowledge point

$$ (8g+1)(8g+1) = (8g+1)^2 = 64g^2 + 16g + 1 $$

Analyze the third visible option

Using the Polynomial Multiplication knowledge point

$$ (-4v-9)(-4v+9) = (-4v)^2 - 9^2 = 16v^2 - 81 $$

Analyze the remaining options

Using the Polynomial Multiplication knowledge point

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Answer:

• (w - 2.5)(w + 2.5) (Correct answer)
• (8g + 1)(8g + 1)
• (-4v - 9)(-4v + 9) (Correct answer)
• (6y + 7)(7y - 6)
• (p - 5)(p - 5)