Find the sum of 5x^(2)+10 x+6 and 10x^(2)+10 x-2. Answer:

Write Given Polynomials: Write down the given polynomials. The first polynomial is 5x^(2)+10x+6, and the second polynomial is 10x^(2)+10x-2.Add Corresponding Terms: Add the corresponding terms from each polynomial. (5x^(2)+10x+6) + (10x^(2)+10x-2)Combine Like Terms: Combine like terms by adding the coefficients of the same powers of x. (5x^(2) + 10x^(2)) + (10x + 10x) + (6 - 2)Perform Addition: Perform the addition. (5x^(2) + 10x^(2)) = 15x^(2) (10x + 10x) = 20x (6 - 2) = 4 So, the sum is 15x^(2) + 20x + 4.

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Find the sum of
5x^(2)+10 x+6 and
10x^(2)+10 x-2.
Answer:

Find the sum of $5 x^{2}+10 x+6$ and $10 x^{2}+10 x-2$ . $\newline$ Answer:

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Algebra 2

Add and subtract polynomials

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Q. Find the sum of

5 x^{2}+10 x+6

and

10 x^{2}+10 x-2

\newline

Answer:

Write Given Polynomials: Write down the given polynomials. $\newline$ The first polynomial is $5x^{2}+10x+6$ , and the second polynomial is $10x^{2}+10x-2$ .
Add Corresponding Terms: Add the corresponding terms from each polynomial. $\newline$ $(5x^{2}+10x+6) + (10x^{2}+10x-2)$
Combine Like Terms: Combine like terms by adding the coefficients of the same powers of $x$ . $(5x^{2} + 10x^{2}) + (10x + 10x) + (6 - 2)$
Perform Addition: Perform the addition. $\newline$ $(5x^{2} + 10x^{2}) = 15x^{2}$ $\newline$ $(10x + 10x) = 20x$ $\newline$ $(6 - 2) = 4$ $\newline$ So, the sum is $15x^{2} + 20x + 4$ .