anonymous
  • anonymous
Simplify: Factor the expression. 6x^3y – 9x^2y^2 + 3x^2y
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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skullpatrol
  • skullpatrol
Any ideas?
skullpatrol
  • skullpatrol
$$6x^3y – 9x^2y^2 + 3x^2y$$
anonymous
  • anonymous
-3xy+3x^2y= 0xy

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anonymous
  • anonymous
prime?
skullpatrol
  • skullpatrol
What is that?
anonymous
  • anonymous
oops
anonymous
  • anonymous
hold on just a sec.
anonymous
  • anonymous
the answer is 3x^2y
skullpatrol
  • skullpatrol
Could you show me your work please?
anonymous
  • anonymous
i do it in my head
skullpatrol
  • skullpatrol
Orly?
anonymous
  • anonymous
yes
skullpatrol
  • skullpatrol
$$6x^3y – 9x^2y^2 + 3x^2y = 3x^2y$$ Is this your answer?
anonymous
  • anonymous
yes
anonymous
  • anonymous
its factoring
skullpatrol
  • skullpatrol
And you did it ALL in your head?
anonymous
  • anonymous
so \[3x ^{2}(2x-3y+1)\]
anonymous
  • anonymous
YES
anonymous
  • anonymous
no paper or pencils or calculators just my brain
anonymous
  • anonymous
i swear
skullpatrol
  • skullpatrol
$$6x^3y – 9x^2y^2 + 3x^2y$$ Start by factoring out the greatest monomial factor first.
anonymous
  • anonymous
3x^2y is 9x^2y^2 factored
skullpatrol
  • skullpatrol
$$6x^3y – 9x^2y^2 + 3x^2y= 3x^2y(2x-3y+1)$$
anonymous
  • anonymous
yes i know, i figured it out in my head
skullpatrol
  • skullpatrol
You missed a factor of y.
anonymous
  • 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
skullpatrol
  • skullpatrol
$$6x^3y – 9x^2y^2 + 3x^2y$$ All three terms have y in common.
anonymous
  • anonymous
yes but only one y
skullpatrol
  • skullpatrol
So factor it out.

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