factor a-ab+a^2

{ "query": { "display": "factor $$a-ab+a^{2}$$", "symbolab_question": "FACTOR#factor a-ab+a^{2}" }, "solution": { "level": "PERFORMED", "subject": "Algebra", "topic": "Algebra", "subTopic": "Simplify", "default": "a(1-b+a)", "meta": { "showVerify": true } }, "steps": { "type": "interim", "title": "Factor $$a-ab+a^{2}:{\\quad}a\\left(1-b+a\\right)$$", "input": "a-ab+a^{2}", "steps": [ { "type": "step", "primary": "Apply exponent rule: $$a^{b+c}=a^{b}a^{c}$$", "secondary": [ "$$a^{2}=aa$$" ], "result": "=a-ab+aa", "meta": { "practiceLink": "/practice/exponent-practice", "practiceTopic": "Expand FOIL" } }, { "type": "step", "primary": "Factor out common term $$a$$", "result": "=a\\left(1-b+a\\right)", "meta": { "practiceLink": "/practice/factoring-practice", "practiceTopic": "Factoring" } } ], "meta": { "solvingClass": "Solver2" } }, "meta": { "showVerify": true } }