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What is (2x^2 + 6x − 1) subtracted
from (2x^3 − 3x + 2)?

User Paul Price
by
4.3k points

1 Answer

1 vote

Answer:

2x^3 - 2x^2 - 9x + 3

Explanation:

(2x^3 − 3x + 2) - (2x^2 + 6x − 1) =

2x^3 − 3x + 2 - 2x^2 + (-6x) − (-1) = ==> distribute the negative sign to 2x^2,

6x, and -1 in (2x^2 + 6x − 1)

Adding a negative number is equivalent to subtracting by a positive number.

Subtracting a negative number is equivalent to adding by a positive number.

Hence:

2x^3 − 3x + 2 - 2x^2 - 6x + 1 =

2x^3 - 2x^2 - 3x - 6x + 2 + 1 = ==> rearrange the expression in which like

terms are matching

2x^3 - 2x^2 - 9x + 3 ==> simplify

User Avanthika
by
3.9k points