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Show algebraically that (4n-3)^2 - (2n+5)^2 is always a multiple of n-4

First we expand the brackets by squaring each side(4n-3) 2 = (4n-3) (4n-3)= 16n 2 - 24n + 9(2n+5) 2 = (2n+5) (2n+5)= 4n 2 + 20n + 25Remember the expression is (4n-3) 2 - (2n+5) 2 so we subtract the expanded ...
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Answered by Ella B. • Maths tutor
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Put the following in order of size, smallest first: 8/sqrt3, sqrt6*sqrt2, sqrt48-sqrt27

First part of the question is to recognise that these are surds and we will need to simplify them. Then it is asking to place the values from smallest to highest. In order to simplify the surds we have to fi...
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Answered by Sandeep S. • Maths tutor
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solve the Simultaneous equations: y= x+6 and y=2x^23

2x 2 = x + 62x 2 - x - 6 = 0 [+-1 x-12]2x 2 - 4x + 3x - 6 =02x(x-2) 3(x-2) = 0(2x + 3)(x-2) = 0x =2 or -3/2 y = 2 + 6 y = 8 y = -3/2 + 6y = 9/2 (2,8)(-3/2, 9/2)
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Answered by Lehana D. • Maths tutor
3901 Views

How many book and reference should I put into my personal statement?

The main idea for your personal statement is to show that you are enthusiastic about your course and willing to commit. You can refer to as many books as you like but make sure that they all have a purpose. ...
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How do you pronounce the ü sound in Pinyin?

The "ü" sound is not as hard as you think. Start saying "i" (ee) and slowing round up your lips to make the "oo" sound. Make sure you don't change the position of your tongue. Y...
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Answered by Ellen Y. • Mandarin tutor
1752 Views