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Urgent please :(

0 votes

Multiply or divide each rational expression and answer should be in simplest form.

a)14x²y over 5xw X 15w over 7y²

b) 6(a-1) over (a+3)(a-2) X  (a-2)(a+5) over 18(a-1)

c) K²-36 over 125 X  25 over k+6

d) r²-49 over m²-81 X m+9 over r-7 

asked Nov 28, 2014 in PRECALCULUS by anonymous

4 Answers

0 votes

a) The rational expression image

 

image

Since the numerator and denominator are having common factors, we can reduce the rational expression as:

image

image.

answered Nov 28, 2014 by david Expert
0 votes

b) The rational expression  image

image

Cancel the common factors (a - 2)(a - 1) in numerator and denominator.

image

We break down 18 into the factors of 6 and 3.

image

image

image.

answered Nov 28, 2014 by david Expert
edited Nov 28, 2014 by david
0 votes

d) The rational expression image

image

image

Applying  the difference of two squares formula image.

image

Cancel the common factors (r - 7) and (m + 9) in numerator and denominator.

image

image.

answered Nov 28, 2014 by david Expert
0 votes

c) The rational expression  image

image

image

Applying  the difference of two squares formula image.

image

Cancel the common factors (k + 6) and 25 in numerator and denominator.

image

image.

answered Nov 28, 2014 by david Expert

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