(5-4y)³=5³=5³-3*5²*4y+3*5*(4y)²-(4y)³=125-3*25y+15*16y²-64y³=125-75y+240y²-64y³
(x-1)³=x³-3*x³*1+3*x*1²-1³=x³-3x²+3x-1
(4xy+5x)³=(4xy)³+3*(4xy)²*5x+3*4xy*(5x)²+(5x)³=64x³y³+15x*16x²y²+12xy*25x²+125x³=64x³y³+240x³y²+300x³y+125x³
(x+7y)³-30(x-5y)³=x³+3*x²*7y+3*x*(7y)²+(7y)³-30[x³-3*x²*5y+3*x*(5y)²-(5y)³]==x³+21x²y+75xy²+343y³-30(x³-15x²y+75xy²-125y³)=x³+21x²y+75xy²+343y³-30x³+450x²y-2250xy²+3750y³=-29x³+471x²y-2175xy²+4093y³ :)
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(5-4y)³=5³=5³-3*5²*4y+3*5*(4y)²-(4y)³=125-3*25y+15*16y²-64y³=125-75y+240y²-64y³
(x-1)³=x³-3*x³*1+3*x*1²-1³=x³-3x²+3x-1
(4xy+5x)³=(4xy)³+3*(4xy)²*5x+3*4xy*(5x)²+(5x)³=64x³y³+15x*16x²y²+12xy*25x²+125x³=64x³y³+240x³y²+300x³y+125x³
(x+7y)³-30(x-5y)³=x³+3*x²*7y+3*x*(7y)²+(7y)³-30[x³-3*x²*5y+3*x*(5y)²-(5y)³]=
=x³+21x²y+75xy²+343y³-30(x³-15x²y+75xy²-125y³)=x³+21x²y+75xy²+343y³-30x³+450x²y-2250xy²+3750y³=-29x³+471x²y-2175xy²+4093y³ :)
(a-b)=a³-3a²b+3ab²-b³
(a+B)=a³+3a²b+3ab²+3b³
(5-4y)³=5³=5³-3*5²*4y+3*5*(4y)²-(4y)³=125-3*25y+15*16y²-64y³=125-75y+240y²-64y³
(x-1)³=x³-3*x³*1+3*x*1²-1³=x³-3x²+3x-1
(4xy+5x)³=(4xy)³+3*(4xy)²*5x+3*4xy*(5x)²+(5x)³=64x³y³+15x*16x²y²+12xy*25x²+125x³=64x³y³+240x³y²+300x³y+125x³
(x+7y)³-30(x-5y)³=x³+3*x²*7y+3*x*(7y)²+(7y)³-30[x³-3*x²*5y+3*x*(5y)²-(5y)³]=
=x³+21x²y+75xy²+343y³-30(x³-15x²y+75xy²-125y³)=x³+21x²y+75xy²+343y³-30x³+450x²y-2250xy²+3750y³=-29x³+471x²y-2175xy²+4093y³