Question

$(2x + 5y) \times 3 \div x$
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Answer 1

Answer:

We have studied procedures for working with fractions in earlier grades.

ab×cd=acbd(b≠0;d≠0)

ab+cb=a+cb(b≠0)

ab÷cd=ab×dc=adbc(b≠0;c≠0;d≠0)

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+3xx+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+3xx+3=x(x+3)x+3=x(x≠−3)

If x=−3 then the denominator, x+3=0 and the fraction is undefined.