(2x3−12x2+5x−3)−(7x3+10x2−3x+20)


What is the first step in simplifying this difference?

(1 point)
Responses

Combine like terms.
Combine like terms.

Distribute the negative to the second set of parenthesis.
Distribute the negative to the second set of parenthesis.

Make the parenthesis one term.
Make the parenthesis one term.

Put the expression in descending order.
Put the expression in descending order.

Distribute the negative to every term in the first and second set of parenthesis.

1 answer

The first step in simplifying the expression \((2x^3 - 12x^2 + 5x - 3) - (7x^3 + 10x^2 - 3x + 20)\) is to distribute the negative to the second set of parentheses.

This means you will change the signs of each term inside the second set of parentheses, resulting in the expression becoming:

\[ 2x^3 - 12x^2 + 5x - 3 - 7x^3 - 10x^2 + 3x - 20. \]

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