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subtract the polynomials. $(9n^8 - 10n^6 - 4n^4 - 2n^3) - (7n^8 + 6n^4 …

Question

subtract the polynomials.
$(9n^8 - 10n^6 - 4n^4 - 2n^3) - (7n^8 + 6n^4 + 7n^3)$

Explanation:

Step1: Distribute the negative sign

$(9n^8 - 10n^6 - 4n^4 - 2n^3) - 7n^8 - 6n^4 - 7n^3$

Step2: Group like terms

$(9n^8 - 7n^8) - 10n^6 + (-4n^4 - 6n^4) + (-2n^3 - 7n^3)$

Step3: Combine like terms

$2n^8 - 10n^6 - 10n^4 - 9n^3$

Answer:

$2n^8 - 10n^6 - 10n^4 - 9n^3$