Mathematics
18 Online
OpenStudy (anonymous):
Simplify:
Factor the expression.
6x^3y – 9x^2y^2 + 3x^2y
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OpenStudy (skullpatrol):
Any ideas?
OpenStudy (skullpatrol):
$$6x^3y – 9x^2y^2 + 3x^2y$$
OpenStudy (anonymous):
-3xy+3x^2y=
0xy
OpenStudy (anonymous):
prime?
OpenStudy (skullpatrol):
What is that?
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OpenStudy (anonymous):
oops
OpenStudy (anonymous):
hold on just a sec.
OpenStudy (anonymous):
the answer is 3x^2y
OpenStudy (skullpatrol):
Could you show me your work please?
OpenStudy (anonymous):
i do it in my head
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OpenStudy (skullpatrol):
Orly?
OpenStudy (anonymous):
yes
OpenStudy (skullpatrol):
$$6x^3y – 9x^2y^2 + 3x^2y = 3x^2y$$ Is this your answer?
OpenStudy (anonymous):
yes
OpenStudy (anonymous):
its factoring
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OpenStudy (skullpatrol):
And you did it ALL in your head?
OpenStudy (anonymous):
so \[3x ^{2}(2x-3y+1)\]
OpenStudy (anonymous):
YES
OpenStudy (anonymous):
no paper or pencils or calculators just my brain
OpenStudy (anonymous):
i swear
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OpenStudy (skullpatrol):
$$6x^3y – 9x^2y^2 + 3x^2y$$ Start by factoring out the greatest monomial factor first.
OpenStudy (anonymous):
3x^2y is 9x^2y^2 factored
OpenStudy (skullpatrol):
$$6x^3y – 9x^2y^2 + 3x^2y= 3x^2y(2x-3y+1)$$
OpenStudy (anonymous):
yes i know, i figured it out in my head
OpenStudy (skullpatrol):
You missed a factor of y.
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OpenStudy (anonymous):
no because only one of them has 2 y's if they all had y^2 then it would be 3x^2y^2 but its not because that doesn't go into 6x^3y or 3x^2y
OpenStudy (skullpatrol):
$$6x^3y – 9x^2y^2 + 3x^2y$$ All three terms have y in common.
OpenStudy (anonymous):
yes but only one y
OpenStudy (skullpatrol):
So factor it out.