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Factorise completely ( x − 4x^3)

(x-4x 3 ) = x(1-4x 2 ) Just taking a factor of x out of both terms Within the inner bracket we have a difference of two squares. 1 2 =1 and (2x) 2 =4x 2 therefore we can write x(1-4x 2 ) = x(1-2x)(1+2x)
EC
Answered by Edward C. • Maths tutor
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Y=3x^2-2 ( Make x the ubject of the formula

x=((y+2)/3)^1/2
TP
Answered by Talha P. • Maths tutor
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find the values of x when 3x^2 - 6x - 9

First we will need to factorise the equation. Start with the 3x^2 term and notice 3 is prime so must have 3x and x terms. (3x - 9) (x + 1) or (3x + 3) (x - 3) Setting the brackets to 0 gives us 3x - 9 = 0 an...
DM
Answered by Dylan M. • Maths tutor
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Solve the simultaneous equations: 4x + 7y = 1, 3x + 10y = 15.

4x + 7y = 1 1. 3x + 10y = 15 2. 1. x 3 (4x x 3) + (7y x 3) = 1 x 3 12x + 21y = 3 3. 2. x 4 (3x x 4) + (10y x 4) = 15 x 4 12x + 40y = 60 4. 4. - 3. (12x - 12x) + (40y - 21y) = 60 - 3 19y = 57 y = 57/19 y = 3 ...
IJ
Answered by Isabelle J. • Maths tutor
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Describe the mechanism of inhalation.

The external intercostal muscles contract, pulling the ribs upwards and outwards. At the same time the muscles of the diaphragm contract, pulling the diaphragm down and causing it to flatten. Both of these a...
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Answered by Isabelle J. • Biology tutor
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