# When factored completely, the expression p^4 – 81 is equivalent to

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## Question:

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)

## 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).

From the answer and question examples above, hopefully, they are able to guide the student deal with the question they had been looking for and take note of all things declared in the answer above. Then could have some sharing in a group discussion and also study with the classmate with regards to the topic, so another student also obtain some enlightenment and still keeps up the school learning.

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