{ "query": { "display": "$$25^{2}-24^{2}$$", "symbolab_question": "PEMDAS#25^{2}-24^{2}" }, "solution": { "level": "PERFORMED", "subject": "Pre Algebra", "topic": "Order of Operations", "subTopic": "Other", "default": "49", "meta": { "showVerify": true } }, "steps": { "type": "interim", "title": "$$25^{2}-24^{2}=49$$", "input": "25^{2}-24^{2}", "steps": [ { "type": "step", "primary": "Follow the PEMDAS order of operations", "meta": { "title": { "extension": "P-Parentheses<br/>E-Exponents<br/>M-Multiply<br/>D-Divide<br/>A-Add<br/>S-Subtract" } } }, { "type": "interim", "title": "Calculate exponents $$25^{2}\\::{\\quad}625$$", "input": "25^{2}", "steps": [ { "type": "step", "primary": "$$25^{2}=625$$", "result": "=625" } ], "meta": { "interimType": "Pemdas Exponent Step Title 1Eq" } }, { "type": "step", "result": "=625-24^{2}" }, { "type": "interim", "title": "Calculate exponents $$24^{2}\\::{\\quad}576$$", "input": "24^{2}", "steps": [ { "type": "step", "primary": "$$24^{2}=576$$", "result": "=576" } ], "meta": { "interimType": "Pemdas Exponent Step Title 1Eq" } }, { "type": "step", "result": "=625-576" }, { "type": "interim", "title": "Add and subtract (left to right) $$625-576\\::{\\quad}49$$", "input": "625-576", "steps": [ { "type": "step", "primary": "$$625-576=49$$", "result": "=49" } ], "meta": { "interimType": "Pemdas AddSub Step Title 1Eq" } }, { "type": "step", "result": "=49" } ], "meta": { "solvingClass": "Pemdas", "practiceLink": "/practice/order-of-operations-whole-practice", "practiceTopic": "Order of Operations" } }, "meta": { "showVerify": true } }