simplify A square B × 7 B cube c ÷ 56 AB square C square
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Solution:
/* we know that,
if x+y+z = 0 then x³+y³+z³ = 3xyz */ i) [(a²-b²)³+(b²-c²)³+(c²-a³)]/[(a-b)³+(b-c)³+
(c-a)³]
= [3(a²-b²)(b²-c²)(c²-a²)][3(a-b)(b-c)(c-a)]
(c-a)] =[(a+b)(a-b)(b+c)(b-c)(c+a)(c-a)]/[(a-b)(b-c)
After cancellation, we get
= (a+b)(b+c)(c+a)
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