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$(6x^{3}-3x + 5x^{2})-(8x^{2}-3x + 10 - 4x^{3})$

Question

$(6x^{3}-3x + 5x^{2})-(8x^{2}-3x + 10 - 4x^{3})$

Explanation:

Step1: Distribute the negative sign

$6x^3 - 3x + 5x^2 - 8x^2 + 3x - 10 + 4x^3$

Step2: Combine like $x^3$ terms

$6x^3 + 4x^3 = 10x^3$

Step3: Combine like $x^2$ terms

$5x^2 - 8x^2 = -3x^2$

Step4: Combine like $x$ terms

$-3x + 3x = 0$

Step5: Keep the constant term

$-10$

Step6: Combine all simplified terms

$10x^3 - 3x^2 - 10$

Answer:

$10x^3 - 3x^2 - 10$