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\equiv 4 \pmod10 - Databee Business Systems

📅 February 27, 2026 👤 scraface

Feb 27, 2026

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Question: Factor the expression $ 16x^2 - 40x + 25 $ completely.
Check if the trinomial is a perfect square trinomial:
16x^2 = (4x)^2, \quad 25 = (5)^2, \quad -40x = 2(4x)(-5)
This confirms the expression is of the form $ a^2 - 2ab + b^2 = (a - b...
16x^2 - 40x + 25 = (4x - 5)^2
Thus, the factored form is $ \boxed{(4x - 5)^2} $.
Question: If $ x + \frac{1}{x} = 4 $, what is the value of $ x^2 + \fr...
We square both sides of the given equation:
\left(x + \frac{1}{x}\right)^2 = 4^2 \Rightarrow x^2 + 2 + \frac{1}{x^...
x^2 + \frac{1}{x^2} = 16 - 2 = 14

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