Identify the like terms in the following:
(a) x y z
(b) p. 3q, r, 4p
(c) - 2ab, 5a, 3ba, bac
(d) xyz, 2x®yºz, 4xyz?, - 4yxz
(e) - 11pq. 7pr. qp, 4rq
(f) - a, 2b, 7a, 3c, a
(g) 3abc, 2a b'c, 2cba' b'a'c (h) 4x®y. - 2x®y, 3xyz, 2yx
Answers
ʀᴀʏs ᴀʀᴇ ᴜsᴇᴅ ᴛᴏ ᴍᴏᴅᴇʟ ᴛʜᴇ ᴘʀᴏᴘᴀɢᴀᴛɪᴏɴ ᴏғ ʟɪɢʜᴛ ᴛʜʀᴏᴜɢʜ ᴀɴ ᴏᴘᴛɪᴄᴀʟ sʏsᴛᴇᴍ, ʙʏ ᴅɪᴠɪᴅɪɴɢ ᴛʜᴇ ʀᴇᴀʟ ʟɪɢʜᴛ ғɪᴇʟᴅ ᴜᴘ ɪɴᴛᴏ ᴅɪsᴄʀᴇᴛᴇ ʀᴀʏs ᴛʜᴀᴛ ᴄᴀɴ ʙᴇ ᴄᴏᴍᴘᴜᴛᴀᴛɪᴏɴᴀʟʟʏ ᴘʀᴏᴘᴀɢᴀᴛᴇᴅ ᴛʜʀᴏᴜɢʜ ᴛʜᴇ sʏsᴛᴇᴍ ʙʏ ᴛʜᴇ ᴛᴇᴄʜɴɪϙᴜᴇs ᴏғ ʀᴀʏ ᴛʀᴀᴄɪɴɢ. ᴛʜɪs ᴀʟʟᴏᴡs ᴇᴠᴇɴ ᴠᴇʀʏ ᴄᴏᴍᴘʟᴇx ᴏᴘᴛɪᴄᴀʟ sʏsᴛᴇᴍs ᴛᴏ ʙᴇ ᴀɴᴀʟʏᴢᴇᴅ ᴍᴀᴛʜᴇᴍᴀᴛɪᴄᴀʟʟʏ ᴏʀ sɪᴍᴜʟᴀᴛᴇᴅ ʙʏ ᴄᴏᴍᴘᴜᴛᴇʀ. ʀᴀʏ ᴛʀᴀᴄɪɴɢ ᴜsᴇs ᴀᴘᴘʀᴏxɪᴍᴀᴛᴇ sᴏʟᴜᴛɪᴏɴs ᴛᴏ ᴍᴀxᴡᴇʟʟ's ᴇϙᴜᴀᴛɪᴏɴs ᴛʜᴀᴛ ᴀʀᴇ ᴠᴀʟɪᴅ ᴀs ʟᴏɴɢ ᴀs ᴛʜᴇ ʟɪɢʜᴛ ᴡᴀᴠᴇs ᴘʀᴏᴘᴀɢᴀᴛᴇ ᴛʜʀᴏᴜɢʜ ᴀɴᴅ ᴀʀᴏᴜɴᴅ ᴏʙᴊᴇᴄᴛs ᴡʜᴏsᴇ ᴅɪᴍᴇɴsɪᴏɴs ᴀʀᴇ ᴍᴜᴄʜ ɢʀᴇᴀᴛᴇʀ ᴛʜᴀɴ ᴛʜᴇ ʟɪɢʜᴛ's ᴡᴀᴠᴇʟᴇɴɢᴛʜ. ʀᴀʏ ᴛʜᴇᴏʀʏ (ɢᴇᴏᴍᴇᴛʀɪᴄᴀʟ ᴏᴘᴛɪᴄs) ᴅᴏᴇs ɴᴏᴛ ᴅᴇsᴄʀɪʙᴇ ᴘʜᴇɴᴏᴍᴇɴᴀ sᴜᴄʜ ᴀs ᴅɪғғʀᴀᴄᴛɪᴏɴ, ᴡʜɪᴄʜ ʀᴇϙᴜɪʀᴇ ᴡᴀᴠᴇ ᴛʜᴇᴏʀʏ. sᴏᴍᴇ ᴡᴀᴠᴇ ᴘʜᴇɴᴏᴍᴇɴᴀ sᴜᴄʜ ᴀs ɪɴᴛᴇʀғᴇʀᴇɴᴄᴇ ᴄᴀɴ ʙᴇ ᴍᴏᴅᴇʟᴇᴅ ɪɴ ʟɪᴍɪᴛᴇᴅ ᴄɪʀᴄᴜᴍsᴛᴀɴᴄᴇs ʙʏ ᴀᴅᴅɪɴɢ ᴘʜᴀsᴇ ᴛᴏ ᴛʜᴇ ʀᴀʏ ᴍᴏᴅᴇʟ.
ʜʟᴏ ɢᴜᴅ ᴇᴠᴇɪɴɢ
ʜʟᴏ ɢᴜᴅ ᴇᴠᴇɪɴɢᴘʟs ғᴏʟʟᴏᴡ ᴍʏ ʀᴇᴀʟ ɪ'ᴅ❤
ʜʟᴏ ɢᴜᴅ ᴇᴠᴇɪɴɢᴘʟs ғᴏʟʟᴏᴡ ᴍʏ ʀᴇᴀʟ ɪ'ᴅ❤"ʏᴀᴅᴀᴠᴍᴀɴsɪ"
ʜʟᴏ ɢᴜᴅ ᴇᴠᴇɪɴɢᴘʟs ғᴏʟʟᴏᴡ ᴍʏ ʀᴇᴀʟ ɪ'ᴅ❤"ʏᴀᴅᴀᴠᴍᴀɴsɪ" ᴛʜɪs ɪs ɴᴏᴛ ᴜsᴇʀ's ʀᴇᴀʟ ɪᴅ