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

Students were asked over to answer a question at school and to say what is most important for them to succeed. The one which response stood out from the rest was practice. Successful persons definitely not born successful; they become successful via hard work and determination. This is how you can achieve your goals. These are some question and answer examples that you can easily make use of to supercharge your knowledge and gain insight that will assist you to continue your school studies.

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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