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Perform the operation.

(-x^(2)+x+5)+(-3x^(2)+10 x+3)
Answer:

Perform the operation.\newline(x2+x+5)+(3x2+10x+3) \left(-x^{2}+x+5\right)+\left(-3 x^{2}+10 x+3\right) \newlineAnswer:

Full solution

Q. Perform the operation.\newline(x2+x+5)+(3x2+10x+3) \left(-x^{2}+x+5\right)+\left(-3 x^{2}+10 x+3\right) \newlineAnswer:
  1. Identify polynomials: Identify the polynomials to be added.\newlineThe first polynomial is (x2+x+5)(-x^{2}+x+5) and the second polynomial is (3x2+10x+3)(-3x^{2}+10x+3). We need to add these two polynomials together.
  2. Align and add terms: Align the like terms and add the polynomials.\newline(x2+x+5)+(3x2+10x+3)(-x^{2}+x+5) + (-3x^{2}+10x+3)\newlineCombine the x2x^2 terms, the xx terms, and the constant terms.\newline(x23x2)+(x+10x)+(5+3)(-x^{2} - 3x^{2}) + (x + 10x) + (5 + 3)
  3. Perform addition: Perform the addition of like terms.\newline(13)x2+(1+10)x+(5+3)(-1 - 3)x^{2} + (1 + 10)x + (5 + 3)\newlineSimplify each group of like terms.\newline4x2+11x+8-4x^{2} + 11x + 8

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