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Solve q^2+11q+24÷q^2-5q-24

Solve q^2+11q+24÷q^2-5q-24

The final expression for the give expressionis.To solve this expression, we first factor both the numerator and the denominator.Factor the numerator:To factor this quadratic expression, we need to find two numbers that multiply to give us (24) and add up to ( 11 ). These numbers are (8) and (3). So, we can rewrite the expression as:Factor the denominator:Similarly, we need to find two numbers that multiply to give us ( -24 ) and add up to ( -5 ). These numbers are ( -8 ) and ( 3 ). So, we can rewrite the expression as:Now, we have:We can cancel out the common factorfrom the numerator and the denominator:So, the final simplified expression is....

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