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

Find the sum of 5x2+10x+6 5 x^{2}+10 x+6 and 10x2+10x−2 10 x^{2}+10 x-2 .\newlineAnswer:

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Full solution

Q. Find the sum of 5x2+10x+6 5 x^{2}+10 x+6 and 10x2+10x−2 10 x^{2}+10 x-2 .\newlineAnswer:
  1. Write Given Polynomials: Write down the given polynomials.\newlineThe first polynomial is 5x2+10x+65x^{2}+10x+6, and the second polynomial is 10x2+10x−210x^{2}+10x-2.
  2. Add Corresponding Terms: Add the corresponding terms from each polynomial.\newline(5x2+10x+6)+(10x2+10x−2)(5x^{2}+10x+6) + (10x^{2}+10x-2)
  3. Combine Like Terms: Combine like terms by adding the coefficients of the same powers of xx.(5x2+10x2)+(10x+10x)+(6−2)(5x^{2} + 10x^{2}) + (10x + 10x) + (6 - 2)
  4. Perform Addition: Perform the addition.\newline(5x2+10x2)=15x2(5x^{2} + 10x^{2}) = 15x^{2}\newline(10x+10x)=20x(10x + 10x) = 20x\newline(6−2)=4(6 - 2) = 4\newlineSo, the sum is 15x2+20x+415x^{2} + 20x + 4.

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