Mathematics: Factor completely: 81x4 – 81 (9x2 + 9)(9x2 – 9) (3x + 3)2(3x – 3)2 (3x + 3)(3x – 3) (9x2 + 9)(3x + 3)(3x – 3)

Factor completely: 81x4 – 81 (9x2 + 9)(9x2 – - id8148192992932802788, ayoismeisalex

Ответ:

dpazmembreno

04.01.2022

81 is the same as 3⁴.

Thus, we can write it as:
$(3x)^{4} - 3^{4}$
$= [(3x)^{2}]^{2} - [3^{2}]^{2}$
$= [(3x)^{2} - 3^{2}][(3x)^{2} + 3^{2}]$
$= (3x - 3)(3x + 3)[(3x)^{2} + 3^{2}]$
$= (3x - 3)(3x + 3)(9x^{2} + 9)$

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Ответ:

shiba8667

15.08.2022

Mathematics

90%=.90 90/100 === 9/10 in simplest form

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Factor completely: 81x4 – 81 (9x2 + 9)(9x2 – 9) (3x + 3)2(3x – 3)2 (3x + 3)(3x – 3) (9x2 + 9)(3x + 3)(3x – 3)

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