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10-65.

Multiply or divide the rational expressions below. Leave your answer in simplified form.

Hint:

See problem 10-30 for help multiplying and dividing fractional expressions.

$\frac{\left(x+4\right)\left(2x-1\right)\left(x-7\right)}{\left(x+8\right)\left(2x-1\right)\left(3x-4\right)}\div\frac{\left(4x-3\right)\left(x-7\right)}{\left(x+8\right)\left(3x-4\right)}$
Hint (a):
Remember that fractional division can also be expressed by multiplying by the reciprocal of a fraction.
$\frac{\left(x+4\right)\left(2x-1\right)\left(x-7\right)}{\left(x+8\right)\left(2x-1\right)\left(3x-4\right)}\cdot\frac{\left(x+8\right)\left(3x-4\right)}{\left(4x-3\right)\left(x-7\right)}$
Hint (a):
Multiply the fractions and look for factors that simplify to one.
Answer (a):
$\frac{\left(x+4\right)}{\left(4x-3\right)}$

$\frac{2m^2+7m-15}{m^2-16}\cdot\frac{m^2-6m+8}{2m^2-7m+6}$
Answer (b):
$\frac{\left(m+5\right)}{\left(m+4\right)}$

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