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

Sagot :

Step-by-step explanation:

[tex](3 {a}^{2} - 5) - ( {a}^{2} + a - 3 )\\ = 3 {a}^{2} - 5 - {a}^{2} - a+ 3 \\ = 2 {a }^{2} -a - 2 [/tex]

Answer:

[tex]2a^2-a-2[/tex]

Step-by-step explanation:

We can write this problem in algebraic form as:

[tex](a^{2} -5)-(a^{2} +a-3[/tex]

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

[tex]3a^{2} -5-a^{2} -a+3[/tex]

Next, group like terms:

[tex]3a^{2} -a^{2} -a-5+3[/tex]

Now, combine like terms:

[tex]3a^2-1a^2-a-5+3\\(3-1)a^2-a+(-5+3)\\2a^2-a+(-2)\\2a^2-a-2[/tex]

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