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Perform the operation.

(-6x^(2)-10 x+8)+(2x^(2)+8x+7)
Answer:

Perform the operation.\newline(6x210x+8)+(2x2+8x+7) \left(-6 x^{2}-10 x+8\right)+\left(2 x^{2}+8 x+7\right) \newlineAnswer:

Full solution

Q. Perform the operation.\newline(6x210x+8)+(2x2+8x+7) \left(-6 x^{2}-10 x+8\right)+\left(2 x^{2}+8 x+7\right) \newlineAnswer:
  1. Write Polynomials: Write down the polynomials to be added.\newline(6x210x+8)(-6x^{2}-10x+8) and (2x2+8x+7)(2x^{2}+8x+7)\newlineChoose the expression after adding the given polynomials.\newlineAdd (6x210x+8)(-6x^{2}-10x+8) and (2x2+8x+7)(2x^{2}+8x+7).\newline(6x210x+8)+(2x2+8x+7)(-6x^{2}-10x+8) + (2x^{2}+8x+7)
  2. Choose Expression: Combine like terms.\newline(6x210x+8)+(2x2+8x+7)(-6x^{2}-10x+8) + (2x^{2}+8x+7)\newline=(6x2+2x2)+(10x+8x)+(8+7)=(-6x^{2} + 2x^{2}) + (-10x + 8x) + (8 + 7)
  3. Combine Like Terms: Simplify the expression to find the sum of the two polynomials.\newline(6x2+2x2)+(10x+8x)+(8+7)(-6x^{2} + 2x^{2}) + (-10x + 8x) + (8 + 7)\newline=(6+2)x2+(10+8)x+(8+7)=(-6 + 2)x^{2} + (-10 + 8)x + (8 + 7)\newline=(4)x2+(2)x+15=(-4)x^{2} + (-2)x + 15

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