When factored completely, the expression p^4 - 81 is equivalent to(1) (p^2 + 9)(p^2 - 9)
(2) (p^2 - 9)(p^2 - 9)
(3) (p^2 + 9)(p + 3)(p - 3)
(4) (p + 3)(p - 3)(p + 3)(p - 3)

Answers

Answer 1

Answer: p⁴ - 81
p⁴ + 9p² - 9p² - 81
p²(p²) + p²(9) - 9(p²) - 9(9)
p²(p² + 9) - 9(p² + 9)
(p² - 9)(p² + 9)
(p² + 3p - 3p - 9)(p² + 9)
(p(p) + p(3) - 3(p) - 3(3))(p² + 9)
(p(p + 3) - 3(p + 3))(p² + 9)
(p - 3)(p + 3)(p² + 9)

The answer is (3).

Answer 2

Answer:

Final answer:

The expression p^4 - 81, when factored completely, is equivalent to (p^2 + 9)(p^2 - 9) using the difference of squares formula.

Explanation:

When the expression p^4 - 81 is factored completely, it becomes equivalent to (p^2 + 9)(p^2 - 9). This can be calculated using the rule of difference of squares which states that a^2 - b^2 = (a - b)(a + b). Here, p^4 can be considered as a square of p^2 and 81 as a square of 9. Hence p^4 - 81 = (p^2)^2 - 9^2. Applying difference of squares formula we get (p^2 - 9)(p^2 + 9).

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Answers

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Answers

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Answers

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Answers

Answer:

Step-by-step explanation:

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Your answer should be 12

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Answers

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To get the exact number of seats, we need to multiply the total number of seats by the fraction bought.

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Answer:

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Step-by-step explanation:

I got this correct on my test for edmentum

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