factor 5k^2-35k^3

{ "query": { "display": "factor $$5k^{2}-35k^{3}$$", "symbolab_question": "FACTOR#factor 5k^{2}-35k^{3}" }, "solution": { "level": "PERFORMED", "subject": "Algebra", "topic": "Algebra", "subTopic": "Simplify", "default": "5k^{2}(1-7k)", "meta": { "showVerify": true } }, "steps": { "type": "interim", "title": "Factor $$5k^{2}-35k^{3}:{\\quad}5k^{2}\\left(1-7k\\right)$$", "input": "5k^{2}-35k^{3}", "steps": [ { "type": "step", "primary": "Apply exponent rule: $$a^{b+c}=a^{b}a^{c}$$", "secondary": [ "$$k^{3}=kk^{2}$$" ], "result": "=5k^{2}-35kk^{2}", "meta": { "practiceLink": "/practice/exponent-practice", "practiceTopic": "Expand FOIL" } }, { "type": "step", "primary": "Rewrite $$5$$ as $$5\\cdot\\:1$$", "secondary": [ "Rewrite $$35$$ as $$5\\cdot\\:7$$" ], "result": "=5\\cdot\\:1\\cdot\\:k^{2}-5\\cdot\\:7kk^{2}" }, { "type": "step", "primary": "Factor out common term $$5k^{2}$$", "result": "=5k^{2}\\left(1-7k\\right)", "meta": { "practiceLink": "/practice/factoring-practice", "practiceTopic": "Factoring" } } ], "meta": { "solvingClass": "Solver2" } }, "meta": { "showVerify": true } }