Question

Find the product. (-3n²)(n²-2n+1) Show your work here

Answer 1

The product of (-3n²)(n²-2n+1) is found by multiplying each term in the second polynomial by -3n², resulting in -3n⁴ + 6n³ - 3n².

Step-by-step explanation:

To find the product of (-3n²)(n²-2n+1), we use the distributive property, which states that a(b+c+d) is equal to ab + ac + ad. We apply this property to multiply -3n² by each term in the trinomial (n²-2n+1).

1. Multiply -3n² by n²: -3n² × n² = -3n⁴
2. Multiply -3n² by -2n: -3n² × (-2n) = 6n³
3. Multiply -3n² by 1: -3n² × 1 = -3n²

Now we combine these results to get the final product:

-3n´ + 6n³ - 3n²

So, the product of (-3n²)(n²-2n+1) is -3n⁴ + 6n³ - 3n².