PERFECT SQUARE TRINOMIAL

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➣ Question: What value of c makes 25x² - 30xy + c a perfect square trinomial?

➣ Answer:

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A perfect square trinomial has the general form:

,

where the middle term is twice the product of the square roots of the first and last terms ( ).

Solve for the last term:

» Let as the last term of the perfect square trinomial, = 25x², and = -30xy.

Therefore, the last term of the perfect square trinomial is 9y².

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