Answered

Discover new perspectives and gain insights with IDNLearn.com's diverse answers. Discover in-depth and trustworthy answers from our extensive network of knowledgeable professionals.

What is x4-81 factored?

Sagot :

AL2006idn
What we need here:

"The difference of two squares is the same as (their sum) times (their difference)."

x^4 is the square of x² .
81 is the square of 9 .
Their difference is the same as (x² + 9) times (x² - 9).

But (x² - 9) is also the difference of two squares,
so it's the same thing as (x+ 3) times (x-3).

So the complete factored form of the original expression is

(x^4 - 81) = (x² + 9) (x+3) (x - 3)
Kate200468idn
[tex]x^4-81=(x^2)^2-9^2=(x^2-9)(x^2+9)=(x^2-3^2)(x^2+9)=\\\\=(x-3)(x+3)(x^2+9)[/tex]
We value your presence here. Keep sharing knowledge and helping others find the answers they need. This community is the perfect place to learn together. Discover insightful answers at IDNLearn.com. We appreciate your visit and look forward to assisting you again.