X^6 - 729 Factorise.
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Answered by
1
Answer:
How to solve your problem
6
−
7
2
9
x^{6}-729
x6−729
Grouping
1
Find one factor
Factor by grouping
Factor by grouping
Factor by grouping
(
−
3
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(
5
+
3
4
+
9
3
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2
7
2
+
8
1
+
2
4
3
)
Answered by
0
Answer:
= (x² - 3²)(x⁴ + 9x² + 81)
Step-by-step explanation:
= x⁶ - 729
= x⁶ - (9)³
we can write it like
= (x²)³ - (9)³
we know, a³ − b³ = (a − b)(a² + ab +b²)
here, a = (x²) and b = (9)
= (x² - 3²)[(x²)² + x²(9) + (9)²]
= (x² - 3²)(x⁴ + 9x² + 81)
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