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Butoxors [25]
2 years ago
10

I need to know how to factor 16a4-b4

Mathematics
2 answers:
Arisa [49]2 years ago
5 0
This is a difference of two squares:

(16a^4 - b^4)

= (4a^2 + b^2) (4a^2 - b^2)

This can be further simplified as the second bracket is also a difference of two squares:

(4a^2 + b^2) (4a^2 - b^2)

= 4a^2 + b^2) (2a - b) (2a + b)
Colt1911 [192]2 years ago
5 0
16a⁴ - b⁴ 

Factorizing powers.

(4a²)²  -  (b²)²

(4a² + b²)(4a² - b²) by difference of two squares.

But  (<span>4a² - b²) is also difference of two squares.
</span>
(4a² - b²) = (2a)² - b² =  (2a - b)(2a + b)
<span>
Therefore: 

</span>16a⁴ - b⁴  = (4a² + b²)(4a² - b²)  = (4a² + b²)(2a - b)(2a + b)<span>

</span>16a⁴ - b⁴  =  (4a² + b²)<span>(2a - b)(2a + b)</span><span>
</span>
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