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When 3a²-2a+5 is subtracted from a²+a-1, the result is

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-2a²+3a-6.

To find this solution, we need to follow the steps of subtracting polynomials:

1. First, write out the two expressions horizontally, ensuring that like terms (terms with the same variable and power) line up vertically.

a²+a-1

3a²-2a+5

2. Second, change all the signs of the second line. That's because when we subtract, we're actually adding the opposite. So positive terms become negative, and negative terms become positive.

a² + a - 1

- (3a² - 2a + 5) becomes:

-3a²+2a-5

3. Add the two lines together.

(a²-3a²) + (a+2a) + (-1-5)

This simplifies to:

-2a² + 3a - 6

Therefore, when we subtract 3a² - 2a + 5 from a² + a - 1, we get -2a² + 3a - 6.

User Gini
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