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What do I fill in the boxes?
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What do I fill in the boxes?

What do I fill in the boxes?-example-1
User Stephane Rolland
by
6.3k points

1 Answer

3 votes

Answer:

see explanation

Explanation:

Given


(4x+1)/(x^2-4x-12) ← factorise the denominator

x² - 4x - 12 = (x - 6)(x + 2)

The fraction can now be expressed as

=
(4x+1)/((x-6)(x+2))

Split the numerator into its 2 parts, that is

=
(4x)/((x-6)(x+2)) +
(1)/((x-6)(x+2))

User Sellorio
by
6.0k points
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