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Question: Factorise the expressions: 1. X^2 - 9 2. 2X^2 - 14X + 24

The ways to complete the first one is to realise that it involves a difference of two squares. If you were to see (X^2) with a constant (number), you know they have no factor in common, meaning the two terms...
YM
Answered by Yahya M. • Maths tutor
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Write a balanced half equation for the oxidation of Mn 2+ to MnO4 -

Mn 2+ + 4H 2 O => MnO ​​​​​ 4 - + 8H + + 5e -
AE
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What are the relative charges of the proton, neutron and electron?

The proton's relative charge is +1 The neutron's relative charge is 0 The electron's relative charge is -1.
AE
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Solve this equation: x^2 + 2x + 2

x = (-2 +/- sqrt(4-8))/2 therefore x = - 1 +/- i, where i is the imaginary unit
AE
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Differentiate this equation: xy^2 = sin(3x) + y/x

y 2 + 2xy dy/dx = 3cos(3x) + 1/y - x/y 2 dy/dx thereforedy/dx = (3cos(3x) + 1/y - y 2 ​​​​​​) / (2xy + x/y 2 )
AE
Answered by Alexander E. • Maths tutor
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