Factorise the following: 5a 4 - 5a 3 + 30a 2 - 30a

5a 4 - 5a 3 + 30a 2 - 30a = 5a(a 3 - a 2 + 6a - 6) = 5a[a 2 (a - 1) + 6(a - 1)] = 5a(a - 1)(a 2 + 6). Hence, 5a 4 - 5a 3 + 30a 2 - 30a = 5a(a - 1)(a 2 + 6).

Mathematics

Factorise the following:
5a⁴ - 5a³ + 30a² - 30a

Factorisation

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Answer

5a⁴ - 5a³ + 30a² - 30a = 5a(a³ - a² + 6a - 6)

= 5a[a²(a - 1) + 6(a - 1)]

= 5a(a - 1)(a² + 6).

Hence, 5a⁴ - 5a³ + 30a² - 30a = 5a(a - 1)(a² + 6).

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Factorise the following:
5a⁴ - 5a³ + 30a² - 30a

Factorisation

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Factorise the following:5a4 - 5a3 + 30a2 - 30a

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