factorise 1/27 p3 - 8q3
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Given;
- 1/27p³ - 8q³
- (1/3p)³ - (2q)³
- (1p/3- 2q) [ (1p/3)² + (2q)² + (1p/3)(2q) ]
- (1p - 6q )/3 × [ 1p²/9 + 4q² + 2pq/3 ]
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Answer:
1/27p³ - 8q³ =
( 1/3p - 2q) [ ( 1/3p)²+ (2q)² + 1/3×2.]
( 1/3p-2q) [ 1/9p² + 4q² + 2/3] ( ans)
using identity
a³-b³ = (a-b) (a²+b²+ab)
hope it will help you
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