Help please - simplification of an equation

[gzola]

Could anybody help please with the following equation - my mind has gone blank.

Express this as a single fraction in its simplest form.

x + 4 ÷ 2x + 3x +1 - 2 ÷ 2x + 1

Thanks.

[ExamSolutions]

Did you mean
(x + 4) ÷ (2x + 3x +1) - 2 ÷ (2x + 1)

if so factorise the quadratic 2x + 3x +1 first

then find a common denominator

and take it from there.

Try that first and let us know how you get on

[class10808]

Of the question you give is correct, by the order of operations rule, you settle the divide 1st. So you will get:

x + 4 ÷ 2x + 3x +1 - 2 ÷ 2x + 1
= x + (4/2x) + 3x + 1 - (2/2x) + 1
= 4x + (2/x) + 2 - (1/x)
= 4x + (2/x) - (1/x) + 2
= (4x + 2 - x + 2x)/ x from here its because i give the rest all denominator x
= (4x + 2x - x + 2)/x thats my answer, hope that helps