No, A4 paper is not an example of the golden ratio. The golden ratio is a mathematical ratio of approximately 1.618:1, often found in art, architecture, and nature. A4 paper has dimensions of 210 mm × 297 mm, which do not align with the golden ratio. The aspect ratio of A4 paper is 1:√2, which is based on the ISO 216 standard for paper sizes.
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No.
The golden ratio is approximately 1.618.
The A4 paper uses something known as the Lichtenberg ratio 1:sqrt(2). If you cut a piece of A4 paper in half, the sides of the smaller sheets would maintain the same ratio. That's why A4 is exactly half the size of an A3 sheet, and A3 is exactly half of an A2 sheet, and so on.
Any sheet of paper in the An series - A4 being the most common size for printers and copiers.
(a2+2b2-2ab)(a2+2b2+2ab)
If you mean a2 x a2... the answer is a4
Expand 4ab3 (a2b2-a-1)
Usually simple substitutions enable such expressions to be seen as quadratic expressions. The substitutions x = a2 and y = b2 give a4 + b4 - 7a2b2 = x2 - 7xy + y2 which does not have any rational factors. Consequently, the quartic in a and b does not have rational factors.