Mathematics: Which of the following is the correct factorization of polynomial below? p^3-216q^3

Which of the following is the correct factorization

Ответ:

BigGirlsTheBest

04.01.2022

Mathematics

(p-6q)(p^2+6pq+36pq^2)

Step-by-step explanation:

p^3-216q^3

Rewrite p^3-216q^3 as p^3-(6q)^3 :

p^3-216q^3

Rewrite 216 as 6^3

=p^3-6^3q^3

Apply exponent rule: a^mb^m=(ab)^m

6^3q^3=(6q)^3

=p^3-(6q)^3

Apply difference of cubes formula: x^3-y^3=(x-y)(x^2+xy+y^2)

p^3-(6q)^3=(p-6q)(p^2+6pq+6^2q^2)

=(p-6q)(p^2+6pq+6^2q^2)

Refine.

=(p-6q)(p^2+6pq+36q^2)

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Ответ:

brookealexis5768

08.07.2020

Mathematics

please brainless me

Step-by-step explanation:

Absolute value describes the distance from zero that a number is on the number line, without considering direction. The absolute value of a a number line, -5

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Which of the following is the correct factorization of polynomial below? p^3-216q^3

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