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QUESTION IMAGE

$(x + 5x^{2}) - (9x^{2} - 6x - 23 - 14x^{3})$

Question

$(x + 5x^{2}) - (9x^{2} - 6x - 23 - 14x^{3})$

Explanation:

Step1: Distribute the negative sign

$x + 5x^2 - 9x^2 + 6x + 23 + 14x^3$

Step2: Rearrange by degree

$14x^3 + 5x^2 - 9x^2 + x + 6x + 23$

Step3: Combine like terms

$14x^3 + (5-9)x^2 + (1+6)x + 23$

Step4: Simplify coefficients

$14x^3 - 4x^2 + 7x + 23$

Answer:

$14x^3 - 4x^2 + 7x + 23$