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Home » Hidden Beauty Inside Overalls: The Mesmerizing Life of an Amish Woman Revealed - Abbey Badges

Hidden Beauty Inside Overalls: The Mesmerizing Life of an Amish Woman Revealed - Abbey Badges

📅 February 27, 2026 👤 scraface

Feb 27, 2026

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📌 A^2 - 16BC = (A - 4\sqrt{BC})(A + 4\sqrt{BC})

📌 But this factoring is not ideal over real numbers. Instead, observe that $ x^4 - 16y^4 = (x^2)^2 - (4y^2)^2 = (x^2 - 4y^2)(x^2 + 4y^2) $.

📌 So the full expression becomes:

📌 Now factor the remaining terms:

📌 Letâs try factoring by grouping. Try factoring $ x^4 + 8x^2 + 16 $ and $ -16y^4 + 64 $ separately:

📌 x^4 + 8x^2 + 16 = (x^2 + 4)^2

📌 -16y^4 + 64 = -16(y^4 - 4) = -16(y^2 - 2)(y^2 + 2)

📌 Letâs now expand and factor directly:

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#### 2.4 hours
A rectangular field is 50 meters longer than it is wide. If the area i...
Let the width be \(x\) meters. Then the length is \(x + 50\) meters.
The area is \(x(x + 50) = 6000\).
Solving \(x^2 + 50x - 6000 = 0\) using the quadratic formula: \(x = \f...
\(x = \frac{-50 \pm \sqrt{2500 + 24000}}{2} = \frac{-50 \pm \sqrt{2650...
\(x = \frac{-50 \pm 162.63}{2}\). Taking the positive root: \(x = 56.3...
Length is \(56.315 + 50 = 106.315\) meters.
#### Width: 56.315 m, Length: 106.315 m
A sum of money is invested at 5% annual interest, compounded annually....

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