factor w^2+12w+36

{ "query": { "display": "factor $$w^{2}+12w+36$$", "symbolab_question": "FACTOR#factor w^{2}+12w+36" }, "solution": { "level": "PERFORMED", "subject": "Algebra", "topic": "Algebra", "subTopic": "Simplify", "default": "(w+6)^{2}", "meta": { "showVerify": true } }, "steps": { "type": "interim", "title": "Factor $$w^{2}+12w+36:{\\quad}\\left(w+6\\right)^{2}$$", "input": "w^{2}+12w+36", "steps": [ { "type": "step", "primary": "Rewrite in the form of $$a^2+2ab+b^2:$$" }, { "type": "interim", "title": "$$36=6^{2}$$", "input": "36", "steps": [ { "type": "step", "primary": "Factor the number: $$36=6^{2}$$", "result": "=6^{2}" } ], "meta": { "interimType": "N/A" } }, { "type": "interim", "title": "$$12w=2w\\cdot\\:6$$", "input": "12w", "steps": [ { "type": "step", "primary": "Factor the number: $$12=2\\cdot\\:6$$", "result": "=2\\cdot\\:6w" }, { "type": "step", "primary": "Apply the commutative law: $$2\\cdot\\:6w=2w\\cdot\\:6$$", "result": "=2w\\cdot\\:6" } ], "meta": { "interimType": "N/A" } }, { "type": "step", "result": "=w^{2}+2w\\cdot\\:6+6^{2}" }, { "type": "step", "primary": "Apply Perfect Square Formula: $$a^2+2ab+b^2=\\left(a+b\\right)^2$$", "secondary": [ "$$w^{2}+2w\\cdot\\:6+6^{2}=\\left(w+6\\right)^{2}$$" ], "result": "=\\left(w+6\\right)^{2}", "meta": { "practiceLink": "/practice/factoring-practice#area=main&subtopic=Perfect%20Square", "practiceTopic": "Factoring Perfect Square" } } ], "meta": { "solvingClass": "Solver2" } }, "meta": { "showVerify": true } }