7a^5-567a (factorise)
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27
7a⁵ - 567a
Take out common factor 7a:
= 7a (a⁴ - 81)
Write each term in the bracket as a perfect square:
= 7a (( a²)² - (9)²)
Apply a² - b² = (a + b)(a - b):
= 7a ( a² + 9)(a² - 9)
Write the terms in the second bracket as a perfect square:
= 7a ( a² + 9)(a² - 3²)
Apply a² - b² = (a + b)(a - b):
= 7a ( a² + 9)(a - 3)(a + 3)
Answer: 7a ( a² + 9)(a - 3)(a + 3)
Answered by
4
Answer:
7a ( a^2 + 9 ) ( a - 3 ) ( a + 3 )
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