6^2 + |6| + |-6| - 6^2 is equal to

Question

Accepted Answer

{"content":[{"type":"paragraph","content":[{"marks":[{"type":"bold"}],"text":"Step 1 (Evaluate Absolute Values):","type":"text"},{"text":" The absolute value of any number is its non-negative magnitude:","type":"text"}]},{"content":[{"content":[{"content":[{"attrs":{"latex":"|6| = 6"},"type":"math_inline"}],"type":"paragraph"}],"type":"list_item"},{"type":"list_item","content":[{"content":[{"attrs":{"latex":"|-6| = 6"},"type":"math_inline"}],"type":"paragraph"}]}],"type":"bullet_list"},{"content":[{"text":"Step 2 (Evaluate the Expression):","type":"text","marks":[{"type":"bold"}]},{"text":" We rewrite and simplify the expression:","type":"text"}],"type":"paragraph"},{"type":"math_block","attrs":{"latex":"6^2 + |6| + |-6| - 6^2"}},{"attrs":{"latex":"36 + 6 + 6 - 36"},"type":"math_block"},{"content":[{"type":"text","text":"Notice that "},{"attrs":{"latex":"36"},"type":"math_inline"},{"text":" and ","type":"text"},{"attrs":{"latex":"-36"},"type":"math_inline"},{"text":" cancel each other out:","type":"text"}],"type":"paragraph"},{"type":"math_block","attrs":{"latex":"(36 - 36) + 6 + 6 = 0 + 12 = 12"}},{"type":"paragraph","content":[{"marks":[{"type":"bold"}],"text":"Step 3 (Conclusion):","type":"text"},{"type":"text","text":" The expression is equal to 12, which is at option index "},{"text":"3","type":"text","marks":[{"type":"code"}]},{"text":" in ","type":"text"},{"type":"text","marks":[{"type":"code"}],"text":"['-6', '0', '6', '12']"},{"type":"text","text":"."}]}],"type":"doc"}

Options:

Guide / Hint

Solution