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Iteru
1 month ago
10

I need to know how to factor 16a4-b4

Mathematics
2 answers:
Leona [12.6K]1 month ago
5 0
16a⁴ - b⁴ 

Factoring powers.

(4a²)²  -  (b²)²

(4a² + b²)(4a² - b²) is derived from the difference of two squares.

The term (<span>4a² - b²) is also identifiable as a difference of squares.
</span>
The equation (4a² - b²) can be expressed as (2a)² - b² = (2a - b)(2a + b)
<span>
Thus: 

</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>
babunello [11.8K]1 month ago
5 0
This represents a difference of squares:

(16a^4 - b^4)

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

Furthermore, the second bracket can be simplified as it is also a difference of two squares:

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

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