(5a+3b)cube - (5a-3b)cube
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Answered by
1
(5a+3b)³ — (5a–3b)³
=125a³+27b³+225a²b+135ab²–125a³+27b³+225a²b–135ab²
=54b³+450a²b
=125a³+27b³+225a²b+135ab²–125a³+27b³+225a²b–135ab²
=54b³+450a²b
Answered by
1
TAKE 5A + 3B AS a
and 5a + 3b as b
therefore a3 - b3
(a -b) (a2 + b2 + ab)
put the values
(5a - 3b - (5a + 3b))((5a - 3b)2 + (5a + 3b)2 + (5a - 3b)(5a + 3b))
(-6b)(25a2 + 9b2 - 30ab)+(25a2 + 9b2 +30ab)+ 5a2 - 3b2
(-6b)(55a2 + 15b2)
and 5a + 3b as b
therefore a3 - b3
(a -b) (a2 + b2 + ab)
put the values
(5a - 3b - (5a + 3b))((5a - 3b)2 + (5a + 3b)2 + (5a - 3b)(5a + 3b))
(-6b)(25a2 + 9b2 - 30ab)+(25a2 + 9b2 +30ab)+ 5a2 - 3b2
(-6b)(55a2 + 15b2)
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