Answer:
6x⁵+12x⁴+3x³
Step-by-step explanation:
3x³(2x² + 4x + 1) = 3x³ × (2x² + 4x + 1)
therefore
3x³(2x² + 4x + 1) =
(3x³ × 2x²) + (3x³ × 4x) + (3x³ × 1)
*NOTE: for the brackets the multiplication law of indices is applied, i.e:
nª × n^b = n^a+b therefore
x³ × x² = x^3+2 = x⁵
x³ × x = x^3+1 = x⁴
x³ × x⁰ = x^3+0 = x³
*Note the quoeficents multiple each other, i.e:
3 × 2 = 6
3 × 4 = 12
3 × 1 = 3
so:
= 6x⁵ + 12x⁴ + 3x³
