Question

-4v(2-3v³) how do you write in standard form?

Answer 1

To write -4v(2-3v³) in standard form, distribute -4v across the terms to get 12v⁴ - 8v, with the terms ordered by descending degree.

Step-by-step explanation:

To write the expression -4v(2-3v³) in standard form, you would distribute the -4v across the terms inside the parentheses. This process, known as the distributive property, involves multiplying -4v by each term inside the bracket.

1. Multiply -4v by 2 to get -8v.
2. Multiply -4v by -3v³ (note that multiplying two negatives gives a positive) to get 12v⁴.
3. Combine these two results to get the standard form as 12v⁴ - 8v.

The standard form of a polynomial is written with terms in descending order of their degrees. Here, v⁴ has a higher degree than v, so it comes first.

Answer 2

To write -4v(2-3v³) in standard form, apply the distributive property, resulting in -8v + 12v⁴.

Step-by-step explanation:

The expression given is -4v(2-3v³), and to write this in standard form, we need to apply the distributive property, which states that a(b+c) = ab + ac. We will multiply -4v by each term inside the parentheses.

1. Multiply -4v by 2 to get -8v.
2. Multiply -4v by -3v³ to get +12v⁴, since multiplying two negatives gives a positive result.

Now, combine these results into one expression: -8v + 12v⁴. This is the expression in standard form, where terms are ordered in descending powers of v.