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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
6761 Views

How do you find the volume of a conical frustum?

First look at the volume of a cone, V = (pi R H)/3. It is clear the volume of our conical frustum will be that of a large cone minus that of a smaller one on top. Also note that the smaller cone will simply ...
SB
Answered by Sam B. Maths tutor
4654 Views

Solve the simultaneous equations: 8x + 2y =46, and 7x + 3y = 47

Whenever we have two equations with two unknowns (x and y) to solve simultaneously, we can try to substitute one equation into the other. If we were to multiply every term in equation 1 by 1.5, then we would...
TC
Answered by Thomas C. Maths tutor
8369 Views

simplify 7(3y-5) - 2(10 + 4y)

Working on the left hand side of the expression, we have to distribute the 7 taking into consideration the negative sign. So, 7 multiplied by 3y= 21y and 7X-5= -35. Simplifying the right hand side,being care...
JK
Answered by Jenany K. Maths tutor
7347 Views

Expand and simplify (2x + 5) (3x - 2)

The importan thing to remember is that each part of both of the brackets must be multiplied by each part of the other bracket (the word 'expand' meaning multiply when the brackets are next to one another). S...
EG
Answered by Emily G. Maths tutor
12003 Views