Mathematics: 81x^4-1 factor with steps

Measure which ever side of the triangle and that’ll be the length of pq...

81x^4-1 factor with steps - id814110594592, terryhgivens4294

sammigrace5820

17.03.2022

Given:

The expression is

81x^4-1

To find:

The factorized form of given expression.

Solution:

We have,

81x^4-1

It can be rewritten as

=3^4x^4-1^2

=(3x)^4-1^2 $[\because a^xb^x=(ab)^x]$

=((3x)^2-1)((3x)^2+1) $[\because a^2-b^2=(a-b)(a+b)]$

=(3x+1)(3x-1)(3x+1)(3x-1) $[\because a^2-b^2=(a-b)(a+b)]$

This is the complete factorized form. It can also written as

=(3x+1)^2(3x-1)^2

Therefore, the complete factorized form is (3x+1)(3x-1)(3x+1)(3x-1) .

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