maths - a few questions

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Simplify 3(x-2)^2/x-2

Is the answer 3x^2-10x+10?
If not then what is?



When p= sqrt2 and q= sqrt6 write pq in the form a(sqrt)b where a and b are integers and b is as small as possible.



Multiply out these brackets. Give your answer in the simplest form. (x+2y)(2x+y)

Is the answer 2x^2 + 2y^2 + 5xy?
If not then what is?


Also when there is an = sign but it is 3 lines instead of 2, what does this mean?

Thankyou xx

1) No as
3(x-2)^2/(x-2)=3(x-2)=3x-6

2) sqrt2 x sqrt 6 =sqrt(2x6)=sqrt12
=Sqrt(4x3) =sqrt4 x sqrt3 =2xsqrt3
therefore a is 2 and b is 3

3) yes you are correct

4) it means equivalent for all values of your variable ie no one unique answer it represents an identity

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