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10. $(2x^{6}+5x^{5}-3x^{3})-(4x^{6}-3x^{5}-7x^{4})$

Question

  1. $(2x^{6}+5x^{5}-3x^{3})-(4x^{6}-3x^{5}-7x^{4})$

Explanation:

Step1: Distribute the negative sign

$(2x^6 + 5x^5 - 3x^3) - 4x^6 + 3x^5 + 7x^4$

Step2: Group like terms

$(2x^6 - 4x^6) + (5x^5 + 3x^5) + 7x^4 - 3x^3$

Step3: Combine like terms

$-2x^6 + 8x^5 + 7x^4 - 3x^3$

Answer:

$-2x^6 + 8x^5 + 7x^4 - 3x^3$