Question

find out the following by using suitable identity:
(a) (96)³
(b) 49³-22³-27³

Answer 1

96*96*96=(90+6)³=
90³+6³+90²6+6²90+2(90)6²+2(6)90²
=729000+216+8100(6)+36(90)+
180(36)+12(8100)
=729216+48600+3240+6480+97200=884736

Answer 2

Answer:

${(90 + 6})^{3}$

$= {90}^{3} + 3( {90}^{2} )(6) + 3(90)( {6}^{2} )$

=729000+145800+9720+216

=884,736

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