1,318 prompts matching "Rationalising and then cancelling a common factor"
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Quiz: Subtracting one complex number from another
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Worked Example: Squaring a complex number
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Quiz: The argument of a complex number
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Explain Back: The locus of a complex number at a fixed distance from a point
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Quiz: Writing a complex number in polar form
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Explain Back: Raising a complex number to a power by de Moivre's theorem
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Learn: The cube roots of unity
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Explain Back: Forming a quadratic equation with given complex roots
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Explain Back: Differentiating one over x from first principles
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Explain Back: Differentiating tan x
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Worked Example: The quotient rule for differentiation
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Worked Example: Differentiating a bracket raised to a power
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Learn: Differentiating sin of a multiple of x
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Worked Example: Classifying a stationary point by the sign of the gradient either side
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Learn: Integrating a polynomial term by term
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Quiz: Why the power rule fails for the integral of one over x
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Learn: Finding displacement by integrating velocity
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Quiz: Using the initial conditions to fix the constants in a kinematics problem
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Learn: Connected rates of change through the chain rule
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Quiz: A rate of change problem about a vessel filling with water
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