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Square of a Trinomial

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The square of a trinomial consists of: Example: ( 3x + 4y + 5z) ^2
square of each term, 9x^2 + 16y^2 + 25z^2
twice the product of the first and the second terms, 2(3x)(4y) = 24xy
twice the product of the first and the third terms, 2(3x)(5z) = 30xz
twice the product of the second and the third terms 2(4y)(5z) = 40yz
Answer: ( 3x + 4y + 5z) ^2 = 9x^2 + 16y^2 + 25z^2 + 24xy + 30xz + 40yz
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