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Expand and simplify (x − 4)(2x + 3y)^2

following BIDMAS we start with the second expression by squaring it, i.e. (x-4)(2x + 3y)(2x + 3y). It is important we do it in the right order, otherwise we could get a wrong answer. We use the FOIL (First O...
EA
Answered by Elsie A. • Maths tutor
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Express (4x)/((x^2) - 9) - (2)/(x + 3) as a single fraction in its simplest form (4 marks)

To do this we need to find a common denominator. We have an (x + 3) on the right hand side and a difference of two squares ((x^2)-9) on the left hand side. So factorising what looks more complicated is first...
LN
Answered by Luke N. • Maths tutor
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solve 2^(3x+1)=16

The first step is to make sure that everything has the same base, so you can equate the powers. For example if you have an equation 2 2 = 2 x you know that x must equal 2. So with this question you can rewri...
JP
Answered by Jessica P. • Maths tutor
7326 Views

L is a line parallel to 4x-2y=8. Find the equation of the line if L passes through (4,(38/3))

Since L is parallel to 4x-2y=8, it means that both lines have the same gradient. (Reminder: in y=mx+c, m is the gradient)4x-2y=8, therefore 2y=4x-8, and dividing both sides by 2 results to y=2x-4. Therefore,...
DI
Answered by Demetris I. • Maths tutor
4608 Views

Expand and simplify (x+4)(x+5).

First, we need to expand the brackets out. To do this first times the x term in (x+4) by everything in the other brackets. We need to make sure to do this term by term. This will give us x^2+5x. Next, we now...
PG
Answered by Peter G. • Maths tutor
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