find the continued product: (a-3)(a+3)(a²+9)
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Step-by-step explanation:
(a-3)(a+3)(a²+9)
=(a²-3²)(a²+9). [(a+b)(a-b)=a²-b²]
=(a²-9)(a²+9)
=a²(a²+9)-9(a²+9)
=a⁴+9a²-9a²-81
=a⁴-81
(or)
=(a²-9)(a²+9)
=(a²)²-9². [(a+b)(a-b)=a²-b²]
=a⁴-81
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