Okay so you want to find the square of this binomial (8x + 2)^2. The square of it is what they call a perfect square trinomial which is:(adsbygoogle = window.adsbygoogle || []).push({});

(8x + 2)^2 = (binomial right now)

(8x + 2)(8x + 2) =

(8x * 8x) + (8x * 2) + (8x * 2) + (2 * 2) =

64x^2 + 16x + 16x + 4 =

(64x^2 + 32x + 4) = the perfect square trinomial

I just simply want to know what is the purpose of this? I know why they call it a square trinomial but why do they call it "perfect" or is my algebra book unique in calling it perfect? What practical applications or technological systems use perfect square trinomials or are they just something to exercise your brain with for enculturation into more difficult mathematics?

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# Perfect Square Trinomial

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