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Step-by-step explanation:
WORKED EXAMPLE 18: SIMPLIFYING FRACTIONS
Simplify:
ax−b+x−ab
ax2−abx
,(x≠0;x≠b)
Use grouping to factorise the numerator and take out the common factor ax in the denominator
(ax−ab)+(x−b)
ax2−abx
=
a(x−b)+(x−b)
ax(x−b)
Take out common factor (x−b) in the numerator
=
(x−b)(a+1)
ax(x−b)
Cancel the common factor in the numerator and the denominator to give the final answer
=
a+1
ax
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