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Find the sum of -6x^(2)+9x+3 and x^(2)-6x. Answer:

Find the sum of −6x2+9x+3 -6 x^{2}+9 x+3 and x2−6x x^{2}-6 x .\newlineAnswer:

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Full solution

Q. Find the sum of −6x2+9x+3 -6 x^{2}+9 x+3 and x2−6x x^{2}-6 x .\newlineAnswer:
  1. Identify Polynomials: The first polynomial is −6x2+9x+3-6x^{2}+9x+3 and the second polynomial is x2−6xx^{2}-6x. We will add the coefficients of the like terms.\newline(−6x2+x2)+(9x−6x)+3(-6x^{2} + x^{2}) + (9x - 6x) + 3
  2. Combine Like Terms: Now, we combine the coefficients of the like terms. (−6+1)x2+(9−6)x+3(-6 + 1)x^{2} + (9 - 6)x + 3
  3. Simplify Expression: Simplify the expression by performing the arithmetic operations. (−5)x2+3x+3(-5)x^{2} + 3x + 3

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