1,007 prompts matching "Why brackets matter when an operation is not associative"
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Simplify the surd expression (3+sqrt2)(3-sqrt2)
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Simplify the surd expression 5/(1+sqrt3)
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Simplify the surd expression (2+sqrt5)^2
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Worked example: differentiate y = 3x^4 - 2x^3 + x - 7
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Worked example: find the gradient of y = x^3 - 4x at the point where x = 2
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Worked example: simplify (3+2i) + (1-5i)
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Worked example: simplify (2+i)(3-4i)
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Worked example: simplify (4+3i)/(1-2i)
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Worked example: solve x^2+4x+13=0 giving the roots as complex numbers
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Worked example: find the magnitude of the vector (3,4)
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Worked example: find the unit vector in the direction of (6,8)
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Real-life application of quadratic equations
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Real-life application of completing the square
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Real-life application of the quadratic formula
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Real-life application of polynomials
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Real-life application of the remainder theorem
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Real-life application of cubic equations
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Real-life application of propositional logic
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Real-life application of truth tables
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Real-life application of permutations
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