1,045 prompts matching "Factorising the sum and difference of two cubes"
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Simplify the surd expression sqrt(50) - sqrt(8)
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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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Solve the trigonometric equation 2cos(x) = 1, for 0 <= x <= 360
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Solve the trigonometric equation sin(2x) = 0.5, for 0 <= x <= 360
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Solve the trigonometric equation tan(x) = -1, for 0 <= x <= 360
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Solve the trigonometric equation 3sin(x) - 1 = 0, for 0 <= x <= 360
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Solve the trigonometric equation cos^2(x) - sin^2(x) = 0.5, for 0 <= x <= 360
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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 a+b where a=(2,-1) and b=(-3,5)
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Worked example: find 2a-3b where a=(4,1) and b=(-2,3)
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Worked example: how many ways can a president and secretary be chosen from 8 people
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Worked example: use the binomial expansion to estimate (2.01)^5 to 4 decimal places
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Worked example: determine whether the argument 'if p then q; p; therefore q' is valid using a truth table
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Worked example: determine whether p IMPLIES q is logically equivalent to (NOT p) OR q
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Real-life application of quadratic equations
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Real-life application of polynomials
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Real-life application of cubic equations
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Real-life application of propositional logic
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