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Veronika777001
@Veronika777001
July 2022
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10!!!!!!!!!!!!!!!!!!!!
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zhenyaM2002
Verified answer
(а³-b³)/(√a-√b) ÷ (a²+ab +b²) =
= (a-b)(a²+ab+b²) / (√a-√b) * 1/(a²+ab+b²) =
= (a-b)(a²+ab+b²) / (√a-√b)(a²+ab+b²)=
= (a-b) / (√a-√b) =
= ((√a)² -(√b)²) / (√a-√b)=
= (√a-√b)(√a+√b) / (√a-√b) =
= √a +√b
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Answers & Comments
Verified answer
(а³-b³)/(√a-√b) ÷ (a²+ab +b²) == (a-b)(a²+ab+b²) / (√a-√b) * 1/(a²+ab+b²) =
= (a-b)(a²+ab+b²) / (√a-√b)(a²+ab+b²)=
= (a-b) / (√a-√b) =
= ((√a)² -(√b)²) / (√a-√b)=
= (√a-√b)(√a+√b) / (√a-√b) =
= √a +√b