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Home > AC > Chapter 10 > Lesson 10.1.4 > Problem 10-39

10-39.

Multiply or divide the expressions below. Express your answers as simply as possible.

Hint:

For more help with multiplying and dividing fractional expressions, see problem 10-30.

$\frac{5x^2-11x+2}{x^2+8x+16}\cdot\frac{x^2+10x+24}{10x^2+13x-3}$
Hint 1(a):
Factor the expressions and multiply the two fractions.
Hint 2(a):
Simplify by looking for factors from the numerator and the denominator that make 'one'.
$\frac{\left(x-2\right)\left(5x-1\right)\left(x+6\right)\left(x+4\right)}{\left(x+4\right)\left(x+4\right)\left(2x+3\right)\left(5x-1\right)}$

$\frac{6x+3}{2x-3}\div\frac{3x^2-12x-15}{2x^2-x-3}$
Answer (b):
$\frac{2x+1}{x-5}$

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