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First you must show that the statement on the right hand side is true for n=1:
Σ_i=0 i² when n=1, is equal to 1²=1
(1/6)(1+1)(1+2)=(1/6)(2)(3)=1
This means t...

To differentiate X^a, where a is any real number, you multiply X by a, and subtract 1 from the power.
i.e. d(X^a)/dX=aX^a-1

simulatneous equations are solved by eliminating one of the unknowns such as x or y. there are a number of ways to do this such as substitution or subtraction/addition. For this example we will use subtra...

I would ask the student what they understood of percentages and if they understood the relationship between fractions and percentages. I would explain that 1% of a value is the same as 1/100 of a value...

x² + y² + 10x + 2y - 4xy = 10

Start by differentiating both sides by x, the terms not containing y are differentiated normally, x² becomes 2x, 10x becomes ...