Urgent please :(

Question

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 

Answer 1

a) The rational expression

 

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

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Answer 2

b) The rational expression 

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

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

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Answer 3

d) The rational expression

Applying  the difference of two squares formula .

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

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Answer 4

c) The rational expression 

Applying  the difference of two squares formula .

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

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