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Step-by-step explanation:
(sin³ x + cos³ x)/(sin x + cos x) + sin x + cos x
=> (sin x+cos x)(sin²x-sin x cos x+cos²x)/(sin x cos x) + sin x cos x
=> 1 - sin x cos x + sin x cos x
=> 1 Answer
[ a³+b³ = (a+b)(a²-ab+b²) and sin²x+cos²x = 1 ]
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