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Polynomials : add , subtract, multiply and divide bare minimum of steps please

Polynomials : add , subtract, multiply and divide bare minimum of steps please-example-1

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We are given the following polynomials:


(7a^2-4a+5)-(3a^2+5a-3)

First, we need to change the sing of the terms insides the second parenthesis since it is preceded by a minus sign:


7a^2-4a+5-3a^2-5a+3

Now we will add like terms, that is, terms that have the same variable elevated to the same exponent. Like this:


(7a^2-3a^2)+(-4a-5a)+(5+3)

Now we add the coefficients of each like term:


4a^2-9a+8

Since we can't simplify any further this is the answer.

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