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anonymous

  • 5 years ago

4p^2+12pq+9q^2 I need to factor this problem

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  1. dumbcow
    • 5 years ago
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    (2p+3q)^2

  2. anonymous
    • 5 years ago
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    how did you get that answer. Please show me so i can possibly understand

  3. anonymous
    • 5 years ago
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    Ok this is how you would do this problem: 4p^2+12pq+9q^2 Notice that 4p^2 is a perfect square: (2p)^2 and Notice that 9q^2 is a perfect square: (3q)^2 Next we have to figure out 12pq If you multiply them together you will get 36p^2 q^2. Now if you take the square root of this (6pq) and double it you get the middle term: 12pq This means that the factored problem is (2p+3q)^2 Any time the middle term is twice the square root of the product of the other two terms, and those other terms are perfect squares, the whole thing is a perfect square.

  4. anonymous
    • 5 years ago
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    okay thanks that makes sense to me.

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