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Factorising polynomials using the highest common factor
", "licence": "Creative Commons Attribution 4.0 International"}, "statement": "Factorise the following expressions by taking out the highest common factor.
\nMake sure you input an asterisk (*) for multiplication wherever necessary.
\nFor example, $xy$ should be written as $x*y$, and $ya(b+c)$ should be written as $y*a*(b+c)$.
\nExample $15x+20$ can be factorised as $5(3x+4)$ entered as 5*(3*x+4)
\nExample $8x^2y+4xy$ can be factorised as $4xy(2x+1)$ entered as 4*x*y*(2*x+1)
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", "templateType": "anything"}, "c": {"name": "c", "group": "Ungrouped variables", "definition": "shuffle([2,2,6,8,10,14])", "description": "Coefficients in a,b,c (HCF: 2)
", "templateType": "anything"}, "c3": {"name": "c3", "group": "Ungrouped variables", "definition": "shuffle([2,4,6,10,14])[0..3]", "description": "Part f (HCF:2)
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", "answer": "2a*({c[4]}a/2+{c[5]}b/2)", "answerSimplification": "all", "showPreview": true, "checkingType": "absdiff", "checkingAccuracy": 0.001, "failureRate": 1, "vsetRangePoints": 5, "vsetRange": [0, 1], "checkVariableNames": true, "singleLetterVariables": false, "allowUnknownFunctions": true, "implicitFunctionComposition": false, "musthave": {"strings": ["(", ")"], "showStrings": false, "partialCredit": 0, "message": "Your answer must be factorised
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", "answer": "p*q*(q^2-p^2)", "answerSimplification": "all", "showPreview": true, "checkingType": "absdiff", "checkingAccuracy": 0.001, "failureRate": 1, "vsetRangePoints": 5, "vsetRange": [0, 1], "checkVariableNames": true, "singleLetterVariables": false, "allowUnknownFunctions": true, "implicitFunctionComposition": false, "musthave": {"strings": ["(", ")"], "showStrings": false, "partialCredit": 0, "message": "Your answer must be factorised
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", "answer": "3*x*y*({c2[0]}x/3+{c2[1]}y^3/3)", "answerSimplification": "all", "showPreview": true, "checkingType": "absdiff", "checkingAccuracy": 0.001, "failureRate": 1, "vsetRangePoints": 5, "vsetRange": [0, 1], "checkVariableNames": true, "singleLetterVariables": false, "allowUnknownFunctions": true, "implicitFunctionComposition": false, "musthave": {"strings": ["(", ")"], "showStrings": false, "partialCredit": 0, "message": "Your answer must be factorised
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