a³- 2763 + 2ab - 6ab². factorise the following
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Step-by-step explanation:
Question must be: a³-27b³+2a²b - 6ab²
a³-27b³+2a²b - 6ab²
= a^3 - (3b)^3 + 2ab(a - 3b)
= (a - 3b)(a^2 + (3b)^2 + 3ab) + 3ab(a - 3b)
= (a - 3b)(a^2 + 9b^2 + 3ab + 3ab)
= (a - 3b)(a^2 + 9b^2 + 6ab)
= (a - 3b)(a + 3b)2
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