Find the product of 2x4(3x2 + 4x + 1)
2x4(3x2 + 4x + 1) can be simplified using the distributive property of multiplication:
2x4(3x2 + 4x + 1) = 2x4(3x2) + 2x4(4x) + 2x4(1)
= 24x3 + 32x2 + 8x
Therefore, the product of 2x4(3x2 + 4x + 1) is 24x3 + 32x2 + 8x.
To find the product of 2x4(3x2 + 4x + 1), we can use the distributive property.
First, distribute 2x4 to each term inside the parentheses:
2x4 * 3x2 + 2x4 * 4x + 2x4 * 1
Simplify each term:
(2 * 3) * (x4 * x2) + (2 * 4) * (x4 * x) + (2 * 1) * (x4 * 1)
Multiply the numbers:
6 * (x4 * x2) + 8 * (x4 * x) + 2 * (x4 * 1)
Now we can simplify the exponents of x:
6 * x6 + 8 * x5 + 2 * x4
Finally, combine like terms:
6x6 + 8x5 + 2x4
So, the product of 2x4(3x2 + 4x + 1) is 6x6 + 8x5 + 2x4.