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4)) Simplify.Write your answer using whole numbers and variables. (g+7)/(g^3)+11g^(2+28g) square beautiful

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4)) Simplify.Write your answer using whole numbers and variables.
(g+7)/(g^3)+11g^(2+28g)
square 
beautiful

4)) Simplify.Write your answer using whole numbers and variables. (g+7)/(g^3)+11g^(2+28g) square beautiful

Solução

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SamuelVeterano · Tutor por 11 anos

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To simplify the given expression, we can factor the denominator and cancel out common factors.<br /><br />The denominator is a quadratic expression, which can be factored as:<br />$g^{3}+11g^{2}+28g = g(g^{2}+11g+28)$<br /><br />Now, we can rewrite the given expression as:<br />$\frac {g+7}{g(g^{2}+11g+28)}$<br /><br />Next, we can factor the quadratic expression in the denominator:<br />$g^{2}+11g+28 = (g+4)(g+7)$<br /><br />So, the expression becomes:<br />$\frac {g+7}{g(g+4)(g+7)}$<br /><br />Finally, we can cancel out the common factor $(g+7)$ in the numerator and denominator:<br />$\frac {1}{g(g+4)}$<br /><br />Therefore, the simplified expression is:<br />$\frac {1}{g(g+4)}$
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