Question

factorise 8p^3 +12/5p^2 + 6/25p + 1/125​

Answer 1

Solution:

/* a³+3a²b+3ab²+b³ = (a+b)³ */

Now ,

8p³+(12/5)p²+(6/25)p+1/125

= (2p)³+3*(2p)²*(1/5)+3*(2p)*(1/5)²+(1/5)³

= (2p+1/5)³

= (2p+1/5)(2p+1/5)(2p+1/5)

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