Find the product of (3x-5y-4)(9x^2+25y^2+15xy+12x-20y+16).
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(3x – 5y – 4)( 9x2 + 25 y2 + 15xy + 12x – 20y +16)
=(3x – 5y – 4)( 9x2 + 25 y2 + 16 + 15xy – 20y +12x)
=[3x + (– 5y) + (– 4)][ (3x) 2 + (– 5y)2 + (– 4)2-(3x) × (– 5y) – (– 5y) × (– 4) – (– 4) × (3x)]
= (3x)3 + (– 5y)3 + (– 4)3 – 3 × (3x) × (– 5y) × (– 4)
[a3 + b3 + c3 – 3 abc = (a + b + c)( a2 + b2+ c2– ab – bc – ca)]
= 27x3 – 125y3 – 64 – 180xy
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