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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 fi...

LN
Answered by Luke N. Maths tutor
4491 Views

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 22 = 2x you know that x must equal 2. So with this...

JP
Answered by Jessica P. Maths tutor
5465 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. Therefo...

DI
Answered by Demetris I. Maths tutor
3554 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 ...

PG
Answered by Peter G. Maths tutor
10095 Views

Rectangle ABCD has sides 2x+5 and x+2 with rectangle EFGH of sides x+3 and x cut out of it. The total area of shape ABCD is 5cm^2. Show that 0 = x^2 + 6x +5 [5 Marks]

Area of ABCD = (2x+5)(x+2) = 2x2 +9x +10Area of EFGH = (x+3)(x) = x2 + 3xTotal Area = 5 = ABCD - EFGH = 2x2 +9x +10 - x2 - 3x 5 = x2 + 6x +10 0 = x

AS
Answered by Arad S. Maths tutor
2754 Views

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