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Show that (x+2)(x+3)(x+5) can be written in the form ax^3 + bx^2 + cx +d, where a,b, c and d are positive integers

I would tell them to start multiplying out the first brackets (x+2)(x+3)! I would do this by timesing x by everything in the second bracket and then 2 by everything in the second brakcet! Giving the answe...

Answered by Bridget P. Maths tutor
7059 Views

Differentiate x^x

This can't be differentiated with the usual methods (chain rule, product rule). First we set y = xx, and our objective is to calculate dy/dx in terms of x.
To turn this function into more ...

Answered by Joel T. Maths tutor
11449 Views

Solve the equation |3x +4a| = 5a where a is a positive constant.

This is a modulus question, asking us to solve for x. As there are two variables in this equation, it is impossible for us to solve for an actual number, so we are asked to answer in terms of a. The easie...

Answered by Chloe H. Maths tutor
5855 Views

Express (2x-14)/(x^2+2x-15) as partial fractions

Partial fractions is a method of expressing a single fraction with multiple factors in the denominator as a sum of fractions. First we must factorise the denominator (bottom of the fraction).x2...

Answered by Andrew S. Maths tutor
3638 Views

Solve the simultaneous equations x - 2y = 5 and 5x + 4y = 11

We can solve simultaneous equations one of two ways. We can either substitute one equation into the other or we can eliminate one of the unknowns only leaving us one to deal with. I will explain both meth...

Answered by Amy T. Maths tutor
3454 Views

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