Secondary II â€¢ 1yr.

Good evening everyone !!

I have an exercise in my notebook where I have to subtract two algebraic expressions. I don't remember how. Can you help me? This is what I have to do:

(5x4 + 3x3âˆ’4x2 + 7) - (4x5 + 9x3 + 22x2âˆ’19x)

Thank you very much!

Explanation from Alloprof

This Explanation was submitted by a member of the Alloprof team.

Hi!

Thanks for your question!

To be able to do the subtraction you will have to start by distributing the (-) inside the parenthesis like this:Â

$$ (5x^4 + 3x^3âˆ’4x^2 + 7) - (4x^5 + 9x^3 + 22x^2âˆ’19x) $$

Then you will have this:

$$ 5x^4 + 3x^3âˆ’4x^2 + 7âˆ’4x^5âˆ’9x^3âˆ’22x^2 + 19x $$

Then you have to add or subtract the coefficients of the terms which have the same variables \( x^4 \) together and you do the same process for all the other terms.

Once you've done that, you should have this expression:

$$ âˆ’4x^5 + 5x^4âˆ’6x^3âˆ’26x^2 + 19x + 7 $$

Now it's your turn!Â