Factirize 27p 3 (4q 2r) 3 +64q 3 (2r-3p) 3 +8r 3 (3p-4q) 3 its urgent please
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27p³(4q-2r)³+64q³(2r-3p)³+8r³(3p-4q)³
=27p³(64q³-3.16q².2r+3.4q.4r²-8r³)+64q³(8r³-3.4r².3p+3.2r.9p²-27p³)+8r³(27p³ -3.9p².4q+3.3p.16q²-64q³)
=1728p³q³-2592p³q²r+1296p³qr²-216p³r³+512q³r³-2304pq³r²+3456p²q³r-1728p³q³+216p³r³-864p²qr³+1152pq²r³-512q³r³
=1296p³qr²+3456p²q³r+1152pq²r³-2592p³q²r-2304pq³r²-864p²qr³
=48pqr(27p²r+72pq²+24qr²-54p²q-48q²r-18pr²)
=48pqr[(27p²r-18pr²)+(24qr²-54p²q)+(72pq²-48q²r)]
=48pqr[9pr(3p-2r)-6q(9p²-4r²)+24q²(3p-2r)]
=48pqr[9pr(3p-2r)-6q(3p+2r)(3p-2r)+24q²(3p-2r)]
=48pqr(3p-2r)[9pr-6q(3p+2r)+24q²]
=48pqr(3p-2r)(9pr-18pq-12qr+24q²)
=48pqr(3p-2r)[9p(r-2q)-12q(r-2q)]
=48pqr(3p-2r)(r-2q)(9p-12q)
=48pqr{3(3p-4q)}(3p-2r)(r-2q)
=144pqr(3p-4q)(3p-2r)(r-2q)
=27p³(64q³-3.16q².2r+3.4q.4r²-8r³)+64q³(8r³-3.4r².3p+3.2r.9p²-27p³)+8r³(27p³ -3.9p².4q+3.3p.16q²-64q³)
=1728p³q³-2592p³q²r+1296p³qr²-216p³r³+512q³r³-2304pq³r²+3456p²q³r-1728p³q³+216p³r³-864p²qr³+1152pq²r³-512q³r³
=1296p³qr²+3456p²q³r+1152pq²r³-2592p³q²r-2304pq³r²-864p²qr³
=48pqr(27p²r+72pq²+24qr²-54p²q-48q²r-18pr²)
=48pqr[(27p²r-18pr²)+(24qr²-54p²q)+(72pq²-48q²r)]
=48pqr[9pr(3p-2r)-6q(9p²-4r²)+24q²(3p-2r)]
=48pqr[9pr(3p-2r)-6q(3p+2r)(3p-2r)+24q²(3p-2r)]
=48pqr(3p-2r)[9pr-6q(3p+2r)+24q²]
=48pqr(3p-2r)(9pr-18pq-12qr+24q²)
=48pqr(3p-2r)[9p(r-2q)-12q(r-2q)]
=48pqr(3p-2r)(r-2q)(9p-12q)
=48pqr{3(3p-4q)}(3p-2r)(r-2q)
=144pqr(3p-4q)(3p-2r)(r-2q)
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