To find the product of the terms 2p, 73p², 4p, and 3, we follow the principles of algebraic multiplication, combining both the numerical coefficients and the variable parts.
First, let’s multiply the numerical coefficients:
- 2 (from 2p)
- 73 (from 73p²)
- 4 (from 4p)
- 3 (a constant)
The multiplication of the numbers is:
2 × 73 × 4 × 3
Calculating this step-by-step:
- First, multiply 2 by 73:
- 2 × 73 = 146
- Next, multiply the result by 4:
- 146 × 4 = 584
- Then, multiply that result by 3:
- 584 × 3 = 1752
Now we have the numerical coefficient: 1752.
Next, we need to multiply the variable factors:
p (from 2p) × p² (from 73p²) × p (from 4p)
When multiplying variables, we add their exponents. Here, the exponents for p are:
- p1 (from 2p)
- p2 (from 73p²)
- p1 (from 4p)
Thus, we add the exponents:
1 + 2 + 1 = 4
So, we have p4.
Finally, combining both parts (the numerical coefficient and the variable part), the product of the entire expression is:
1752p4.
Therefore, the product of 2p, 73p², 4p, and 3 is 1752p4.