Mathematics: Eli needs to place buoys at specific points in the inlet. He used the expression x4−81 to find the location for each buoy. Which expression is equivalent to Eli s expression?

Eli needs to place buoys at specific points in

19colemankl

22.03.2021

x^4 - 81 = (x - 3)(x+3)(x^2 + 9)

Step-by-step explanation:

Given

x^4 - 81

Required

Write an equivalent expression

Express 81 as 9^2

x^4 - 81 = x^4 - 9^2

Express x^4 as (x^2)^2

x^4 - 81 = (x^2)^2 - 9^2

Apply difference of two squares:

x^4 - 81 = (x^2 - 9)(x^2 + 9)

Express 9 as 3^2

x^4 - 81 = (x^2 - 3^2)(x^2 + 9)

Apply difference of two squares

x^4 - 81 = (x - 3)(x+3)(x^2 + 9)

Hence, an equivalent expression is: (x - 3)(x+3)(x^2 + 9)

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yadi64

02.07.2020

-9ab3a3b-52

Step-by-step explanation:

-8a3b+3a2b2-52+5a2b3a3b+7-9a2b2

-8a3b-6a-52+5a2b3a3b

-14a3b-52+5a2b3a3b

-9ab3a3b-52

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