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Factorising polynomials using the highest common factor

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Factorise the following expressions by taking out the highest common factor.

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Make sure you input an asterisk (*) for multiplication wherever necessary.

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For example, $xy$ should be written as $x*y$, and $ya(b+c)$ should be written as $y*a*(b+c)$.

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Example $15x+20$ can be factorised as $5(3x+4)$ entered as 5*(3*x+4)

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Example $8x^2y+4xy$ can be factorised as $4xy(2x+1)$ entered as 4*x*y*(2*x+1)

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Coefficients in e,f  (HCF: 3)

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Coefficients in a,b,c (HCF: 2)

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Part f (HCF:2)

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$\\var{c[0]}-\\var{c[1]}x^2=$

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Your answer must be factorised

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$\\var{c[4]}a^2+\\var{c[5]}ab=$

", "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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$pq^3-p^3q=$

", "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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$\\var{c2[0]}x^2y+\\var{c2[1]}xy^4=$

", "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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