1,333 prompts matching "Laws of indices with three different bases in one line"
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Practice: Converting between index form and logarithm form
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Worked Example: Finding one over alpha plus one over beta
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Practice: Finding alpha minus beta from the sum and the product
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Explain Back: Finding alpha squared beta plus alpha beta squared
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Worked Example: Evaluating a polynomial by substitution
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Practice: Factorising a cubic completely once one factor is known
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Explain Back: Finding an unknown coefficient given that a stated factor divides the polynomial
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Worked Example: Solving a quadratic inequality by sketching the parabola
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Explain Back: Solving an inequality that involves a modulus
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Explain Back: Arrangements in which two particular objects must stay together
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Worked Example: The difference between a permutation and a combination
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Practice: Choosing a committee that must contain one particular person
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Worked Example: Solving cos x equals a negative value, and finding both solutions
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Explain Back: Solving a quadratic in sin x
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Worked Example: The midpoint formula applied to a given segment
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Explain Back: Deciding whether a point lies inside, on or outside a circle
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Practice: The ellipse in standard form, and its two axes
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Practice: A uniform beam resting on two supports
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Worked Example: Relative velocity when two bodies move along the same line
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Explain Back: The course to steer so that a boat crosses straight over
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