{ "query": { "display": "$$65^{2}-62^{2}$$", "symbolab_question": "PEMDAS#65^{2}-62^{2}" }, "solution": { "level": "PERFORMED", "subject": "Pre Algebra", "topic": "Order of Operations", "subTopic": "Other", "default": "381", "meta": { "showVerify": true } }, "steps": { "type": "interim", "title": "$$65^{2}-62^{2}=381$$", "input": "65^{2}-62^{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 $$65^{2}\\::{\\quad}4225$$", "input": "65^{2}", "steps": [ { "type": "step", "primary": "$$65^{2}=4225$$", "result": "=4225" } ], "meta": { "interimType": "Pemdas Exponent Step Title 1Eq" } }, { "type": "step", "result": "=4225-62^{2}" }, { "type": "interim", "title": "Calculate exponents $$62^{2}\\::{\\quad}3844$$", "input": "62^{2}", "steps": [ { "type": "step", "primary": "$$62^{2}=3844$$", "result": "=3844" } ], "meta": { "interimType": "Pemdas Exponent Step Title 1Eq" } }, { "type": "step", "result": "=4225-3844" }, { "type": "interim", "title": "Add and subtract (left to right) $$4225-3844\\::{\\quad}381$$", "input": "4225-3844", "steps": [ { "type": "step", "primary": "$$4225-3844=381$$", "result": "=381" } ], "meta": { "interimType": "Pemdas AddSub Step Title 1Eq" } }, { "type": "step", "result": "=381" } ], "meta": { "solvingClass": "Pemdas", "practiceLink": "/practice/order-of-operations-whole-practice", "practiceTopic": "Order of Operations" } }, "meta": { "showVerify": true } }