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4) Simplify.Write your answer using whole numbers and variables. (18q-24)/(12q+9) square

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4) Simplify.Write your answer using whole numbers and variables.
(18q-24)/(12q+9)
square

4) Simplify.Write your answer using whole numbers and variables. (18q-24)/(12q+9) square

Solução

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JullyaMestre · Tutor por 5 anos

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To simplify the expression $\frac {18q-24}{12q+9}$, we can factor out the common factors in the numerator and denominator.<br /><br />First, let's factor out the common factor of 6 from the numerator:<br />$18q - 24 = 6(3q - 4)$<br /><br />Next, let's factor out the common factor of 3 from the denominator:<br />$12q + 9 = 3(4q + 3)$<br /><br />Now, we can rewrite the expression as:<br />$\frac {6(3q - 4)}{3(4q + 3)}$<br /><br />We can cancel out the common factor of 3 in the numerator and denominator:<br />$\frac {2(3q - 4)}{4q + 3}$<br /><br />Therefore, the simplified expression is:<br />$\frac {2(3q - 4)}{4q + 3}$
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