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Expand the brackets in the following expressions.

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$\\simplify[!cancelterms,unitfactor,zerofactor,zeroterm,!expandbrackets]{{a}({b}x+{c}) + {d}({f}x+{g})}$

", "answer": "{{a}*{b}+{d}*{f}}*x+{a}*{c}+{d}*{g}", "showPreview": true, "checkingType": "absdiff", "checkingAccuracy": 0.001, "failureRate": 1, "vsetRangePoints": 5, "vsetRange": [0, 1], "checkVariableNames": false, "singleLetterVariables": false, "allowUnknownFunctions": true, "implicitFunctionComposition": false, "caseSensitive": false, "valuegenerators": [{"name": "x", "value": ""}]}, {"type": "jme", "useCustomName": false, "customName": "", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "

$\\simplify[!cancelterms,unitfactor,zerofactor,zeroterm,!expandbrackets]{{p}({q}x+{r}y) + {s}({t}x+{u}y)}$

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Factorise the following expressions.                        (Use x*y)

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$\\simplify[zeropower,unitfactor,collectnumbers,cancelfactors]{{p}{q}x+{p}{r}}$

", "answer": "{p}({q}x+{r})", "showPreview": true, "checkingType": "absdiff", "checkingAccuracy": 0.001, "failureRate": 1, "vsetRangePoints": 5, "vsetRange": [0, 1], "checkVariableNames": false, "singleLetterVariables": false, "allowUnknownFunctions": true, "implicitFunctionComposition": false, "caseSensitive": false, "valuegenerators": [{"name": "x", "value": ""}]}, {"type": "jme", "useCustomName": false, "customName": "", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "

$\\simplify[zeropower,unitfactor,collectnumbers,cancelfactors,unitpower]{{a}{b}x^{h} y^{c}y^{f} +{a}{d}y^{c} x^{g} x^{h}}$

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