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How do you perform the indicated operation (9x⁵+9x⁴+9x³-4) - (5x⁵-6x⁴-2x³+6)

How do you perform the indicated operation (9x⁵+9x⁴+9x³-4) - (5x⁵-6x⁴-2x³+6)
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How do you perform the indicated operation (9x⁵+9x⁴+9x³-4) - (5x⁵-6x⁴-2x³+6)

User Cutmancometh
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1 Answer

3 votes

Let's begin by listing out the information given to us:


\begin{gathered} \mleft(9x^(5)+9x^(4)+9x^(3)-4\mright)-(5x^(5)-6x^(4)-2x^(3)+6) \\ \text{Opening the bracket},\text{ we multiply every element in the bracket with -1, we have:} \\ \mleft(9x^(5)+9x^(4)+9x^(3)-4\mright)-5x^(5)+6x^(4)+2x^(3)-6 \\ \text{Put like terms together, we have:} \\ 9x^(5)-5x^(5)+9x^(4)+6x^(4)+9x^(3)+2x^(3)-4-6=4x^5+15x^4+11x^3-10 \\ \Rightarrow4x^5+15x^4+11x^3-10 \end{gathered}

User Jremi
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