SOLUTION: Diretions: Decide whether each trinomoial is a perfect square. if it is, factor it. 4x2-20x+25 64u2+72uv +81v2 the 2 after x and u and v is an exponent

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Question 58554: Diretions: Decide whether each trinomoial is a perfect square. if it is, factor it.
4x2-20x+25
64u2+72uv +81v2
the 2 after x and u and v is an exponent
Answer by Earlsdon(6103) About Me  (Show Source):
You can put this solution on YOUR website!
Determine whether or not the trinomials are perfect squares:
4x%5E2-20x%2B25 Divide by the coefficient of the x^2 term (4)
x%5E2+-+5x+%2B+25%2F4 Now find the square of half the x-coefficient: %28%28-5%29%2F2%29%5E2+=+25%2F4. Does this equal the constant term of the trinomial 25%2F4? Yes it does, so the trinomial is a perfect square.
4x%5E2-20x%2B25+=+%282x-5%29%282x-5%29 = %282x-5%29%5E2
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64u%5E2%2B72uv%2B81v%5E2 Divide by 64.
u%5E2%2B%289%2F8%29uv+%2B+%2881%2F64%29v%5E2 Find the square of half the x-coefficient: %289%2F16%29%5E2+=+81%2F256 not = to 81%2F64 therefore, the trinomial is not a perfect square.