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Need help with this what to do with minus symbol between parenthesis

Need help with this what to do with minus symbol between parenthesis-example-1

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Given the expression below


(6x^5-2x^3+x^2+5x)-(8x^5+2x^3-11x^2+9)

Expanding the expression and simplifying them by multiplying the second expression by the negative(-) sign.


\begin{gathered} 6x^5-2x^3+x^2+5x-8x^5-2x^3+11x^2-9 \\ 6x^5-8x^5-2x^3-2x^3+x^2+11x^2+5x-9 \\ -2x^5-4x^3+12x^2+5x-9 \end{gathered}

Hence, the answer is


-2x^5-4x^3+12x^2+5x-9

Brief illustrations of multiplication of symbols


\begin{gathered} -*-=+ \\ -*+=- \\ +*-=- \\ +*+=+ \end{gathered}

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