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Simplify the expression. (8-p^2+5p)+(p^2-15-4p) -p^4+p-7 p^2-7 -2p^2+9p+23 p-7

Pergunta

Simplify the expression.
(8-p^2+5p)+(p^2-15-4p)
-p^4+p-7
p^2-7
-2p^2+9p+23
p-7

Simplify the expression. (8-p^2+5p)+(p^2-15-4p) -p^4+p-7 p^2-7 -2p^2+9p+23 p-7

Solução

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RubenProfissional · Tutor por 6 anos

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To simplify the expression \((8 - p^2 + 5p) + (p^2 - 15 - 4p)\), follow these steps:<br /><br />1. Combine like terms:<br /> \[<br /> (8 - p^2 + 5p) + (p^2 - 15 - 4p)<br /> \]<br /><br />2. Remove the parentheses:<br /> \[<br /> 8 - p^2 + 5p + p^2 - 15 - 4p<br /> \]<br /><br />3. Combine like terms:<br /> \[<br /> 8 - 15 + 5p - 4p<br /> \]<br /><br />4. Simplify the constants and coefficients:<br /> \[<br /> 8 - 15 = -7<br /> \]<br /> \[<br /> 5p - 4p = p<br /> \]<br /><br />So, the simplified expression is:<br />\[<br />-7 + p \quad \text{or} \quad p - 7<br />\]<br /><br />Therefore, the correct answer is:<br />\[<br />p - 7<br />\]
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