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hint: Expand \((x+y)^2\)

i'm sorry i'm still lost

what can you say about the number \((x+y)^2\)? can it ever be negative?

yes

how?

remember x, y E R

so the answere would be (x+y)^2 + y^2

not quite - what do you get when you expand \((x+y)^2\) ?

(x+y)^2+2y^2

x^2 + 2xy + y ^2

correct - now what do you need to add to this in order to get to your original expression?

2y to be squared

perfect!

so we end up with:\[x^2+2xy+3y^2=(x+y)^2+2y^2\]now - can you see that this can never be negative?

yw :)
could you please post that as a separate question. thanks.

using the same axsis and scales graph the functions f(x)=|x|
and g(x)= |2x - 3|

<--- I meant post in the list to the left

oh ok sorry