(3x+1+2m)^3 expanded from
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Answer:
9x³+8m³+27x²+54mx²+36xm²+12m²+36xm +6m+9x+1
Step-by-step explanation:
(a+b)³= a³+b³+3a²b+3ab²
((3x+1)+2m)³
=(3x+1)³+(2m)³+3(3x+1)²(2m) + 3(3x+1)(2m)²
= (3x)³+1³+3(3x)²(1)+3(3x) (1)²+8m³ +6m (9x² +1+ 6x) + 12m²(3x+1)
=9x³+1+27x²+9x+8m³+54mx²+6m+36mx+36xm²+12m²
=9x³+8m³+27x²+54mx²+36xm²+12m²+36xm +6m+9x+1
=9x³+8m³+27(1+2m)x²+12(3x+1)m²+6(6x+1)m +9x+1
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