Question

(2x+3)³
(x+5y)³
(10+m)³
(3p²+1)³
(n³+12)³

Answer 1

Aplicamos productos notables:
(a + b)³ = a³ +3a²b +3ab² +b³

(2x + 3)³ = (2x)³ + 3(2x)² (3) + 3(2x)(3²) +3³ =
8x³ + 9 (4x²) + 6x(9) +27 = 8x³ +36x² +54x +27

( x +5y)³ = x³ +3x²(5y) +3x(5y)² + (5y)³ =
x³ +15x²y +3x(25y²) +125y³ =
x³ + 15x²y +75xy² +125y³

(10 + m)³ = 10³ +3(10)²m +3(10)m² +m³ =
1000 + 3(100)m +30m² +m³ =
1000 +300m +30m² +m³

(3p² +1)³ = (3p²)³ + 3(3p²)² +3 (3p²) +1 =
27p⁶ +3(9p⁴) +9p² +1 =
27p⁶ + 27p⁴ +9p² +1

(n³ +12) = (n³)³ +3 (n³)²(12) +3(n³)(12)² + (12)³ =
n⁹ +36n⁶ +3n³(144) +1728 =
n⁹ + 36n⁶ +432n³ + 1728