(v) simplify
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Note: dividing by a fraction is the same as multiplying by the reciprocal of the fraction.
In some cases of simplifying an algebraic expression, the expression will be a fraction. For example,
x2+3x
x+3
has a quadratic binomial in the numerator and a linear binomial in the denominator. We have to apply the different factorisation methods in order to factorise the numerator and the denominator before we can simplify the expression.
x2+3x
x+3
=
x(x+3)
x+3
=x(x≠−3)
If x=−3 then the denominator, x+3=0 and the fraction is u
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