Question

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

Answer 1

Step-by-step explanation:

$(3 {a}^{2} - 5) - ( {a}^{2} + a - 3 )\\ = 3 {a}^{2} - 5 - {a}^{2} - a+ 3 \\ = 2 {a }^{2} -a - 2$

Answer 2

Answer:

$2a^2-a-2$

Step-by-step explanation:

We can write this problem in algebraic form as:

$(a^{2} -5)-(a^{2} +a-3$

First, remove all of the terms from parenthesis. Be careful to handle the signs of each individual term correctly:

$3a^{2} -5-a^{2} -a+3$

Next, group like terms:

$3a^{2} -a^{2} -a-5+3$

Now, combine like terms:

$3a^2-1a^2-a-5+3\\(3-1)a^2-a+(-5+3)\\2a^2-a+(-2)\\2a^2-a-2$