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factorise and simplify (x^2+4x+4)/(3x^2+15x+18)

Factorise: Top (x^2+4x+4) = (x+2)^2Bottom (3x^2+15x+18) = 3(x^2+5x+6) = 3(x+3)(x+2)Simplify: ((x+2)^2)/(3(x+3)(x+2)) = (x+2)/(3(x+3))

NS
Answered by Nikita S. Maths tutor
3390 Views

How do I expand (2x+5)(9x-2)?

First, remember that a set of closed brackets directly beside a single term/another set indicates that they are being multiplied. The key to expansions like this is to do it a particular order every time ...

ME
Answered by Meron E. Maths tutor
3435 Views

Identify two errors made by a student asked to evaluate the following integral (Will upload question to less space)

Error 1: expressed 3/x^(1/2) incorrectly. Should be 3x^-(1/2), not 3x^(1/2).Error 2: subtracted the larger area from the smaller area after substituting the unknowns with the given limits value.

SL
Answered by Seun L. Maths tutor
5220 Views

What is 15% of 640?

There are different ways to approach this question: directly or breaking it down.By using the method of breaking it down, we can split this percentage into easier percentages. 15% is the sum of 10% and 5%...

RR
Answered by Romina R. Maths tutor
19903 Views

Given that 9 sin^2y-2 sin y cos y=8 show that (tany - 4)(tany + 2)= 0

This question requires us to make use of the trigonometric identities tan(y)=sin(y)/cos(y) and sin^2y + cos^2y = 1 which are given in the formula sheet of the exam. Since we know that sin(y)/cos(y) can be...

SG
Answered by Swetha G. Maths tutor
4612 Views

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