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Find the area of a square with side length 1 – 3x. A. 1 + 9x2 B. 1 - 9x2 C. 1 - 6x + 9x2 D. 1 - 6x - 9x2
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The area of a square is the side squared. So you square 1 - 3x. \( \color{Black}{\Rightarrow (1 - 3x)^2}\) \( \color{Black}{\Rightarrow (1 - 3x)(1 - 3x)}\)
\[(1-3x)^2\]
\( \color{Black}{\Rightarrow 1(1 - 3x) - 3x(1 - 3x) }\)
Area of a square=side*side
\( \color{Black}{\Rightarrow 1 - 3x - 3x + 9x^2}\)
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Area of Square = \[(Side Length)^2\] And Remember: \[(a - b)^2 - a^2 + b^2 - 2ab\] Here, a = 1 and b = 3x Put and solve it...
=\[(1)^2+(-3x)^2-2(1)(3x)\]\[=1+9x^2-6x\] therefore C
C again -.-
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