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(5 + 2(2^0.5))(7 - 3(2^0.5))

23 - 2 0.5
NW
Answered by Naman W. • Maths tutor
3405 Views

Find the binomial expansion of ((x^2) − 5)^3

This is a typical Core 2 maths AS question. I would start by explaining how a formula can be used to expand this expression and similar ones. I would then explain how to create pascal's triangle and how it c...
JC
Answered by James C. • Maths tutor
6655 Views

The first term of an arithmetic series is a and the common difference is d. The 12th term is 66.5 and the 19th term is 98. Write down two equations in a and d then solve these simultaneous equations to find a and d.

The first step is to recall the formula for arithmetic progressions: u(n) = a + (n-1) d We can then put all the information given in the question into this so u(12) = 66.5 = a + 11d and u(19) = 98 = a + 18d ...
EW
Answered by Eleanor W. • Maths tutor
7651 Views

A curve has equation (x+y)^2=x*y^2, find the gradient of the curve at a point where x=1

Differentiating left hand side: 2(x+y)(1+dy/dx) from the chain rule 2. Differentiating right hand side: y 2 +2xy(dy/dx) from the product rule 3. Equating sides and taking out factors of dy/dx to rearrange fo...
PK
Answered by Peter K. • Maths tutor
4723 Views

Find the equation of a straight line that passes through the coordinates (12,-10) and (5,4). Leaving your answer in the form y = mx + c

Finding the gradient (m): The gradient is the change in y-axis over the change in x-axis Δy = -10-4= -14 Δx = 12-5=7 Δy/Δx = -14/7 = -2 Accumilating the equation: The equation of a straight line can be deduc...
MM
Answered by Martin M. • Maths tutor
9324 Views