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Maths
GCSE

Simplify (3x^2 - 15x)/(3x^2 - 13x -10)

Begin by considering the numerator and denominator separately, simplify both:
1) 3x^2 - 15x
Here, a common factor of 3x can be removed to give 3x(x^2 -5).
2) 3x^2 - 13x -10
This involv...

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Answered by Gabriella O. Maths tutor
7992 Views

Calculate the value of 2^(–3) as a fraction in its simplest form.

To calculate the value of 2-3 first we know that a negative exponent is equivalent to the inverse of the same number with a positive exponent. 

Therefore 2-3= 1/2

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Answered by Joseff S. Maths tutor
177815 Views

Calculate the largest share when £400 is shared in the ratio 1 : 2 : 5.

To calculate the largest share, first we need to find out how much each part that makes up a share is worth.

To find out how much the smallest part is (i.e 1 part), we divide the value £4...

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Answered by Joseff S. Maths tutor
23892 Views

How do I solve the simultaneous equations 5x - 3y = -1 and 3x + y = 5?

One method of solving these is by elimination. We can try to subtract a multiple of one equation from the other to cancel the x's (or y's).

5x - 3y = -1 (A)
3x + y  = 5  (B)<...

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Answered by Alex K. Maths tutor
12074 Views

Find the maximum or minimum value of the function: y = 6x^2 + 4x + 2

The easiest way to solve this problem is by using differentiation.

dy/dx = (6x^2 + 4x + 2)/dx

dy/dx = 62x^1 + 41x^0 + 0

dy/d...

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Answered by Harry C. Maths tutor
10349 Views

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