factor 2x^2y-6xy^2+7xy

{ "query": { "display": "factor $$2x^{2}y-6xy^{2}+7xy$$", "symbolab_question": "FACTOR#factor 2x^{2}y-6xy^{2}+7xy" }, "solution": { "level": "PERFORMED", "subject": "Algebra", "topic": "Algebra", "subTopic": "Simplify", "default": "xy(2x-6y+7)", "meta": { "showVerify": true } }, "steps": { "type": "interim", "title": "Factor $$2x^{2}y-6xy^{2}+7xy:{\\quad}xy\\left(2x-6y+7\\right)$$", "input": "2x^{2}y-6xy^{2}+7xy", "steps": [ { "type": "step", "primary": "Apply exponent rule: $$a^{b+c}=a^{b}a^{c}$$", "secondary": [ "$$x^{2}y=xxy,\\:xy^{2}=xyy$$" ], "result": "=2xxy-6xyy+7xy", "meta": { "practiceLink": "/practice/exponent-practice", "practiceTopic": "Expand FOIL" } }, { "type": "step", "primary": "Factor out common term $$xy$$", "result": "=xy\\left(2x-6y+7\\right)", "meta": { "practiceLink": "/practice/factoring-practice", "practiceTopic": "Factoring" } } ], "meta": { "solvingClass": "Solver2" } }, "meta": { "showVerify": true } }