like terms in the expression 7x, 5x2, 7y, -5xy, -9x2 are
Answers
ᴡᴇ ᴋɴᴏᴡ ᴛʜᴀᴛ ᴛʜᴇ ᴛᴇʀᴍs ʜᴀᴠɪɴɢ ᴛʜᴇ sᴀᴍᴇ ᴠᴀʀɪᴀʙʟᴇ ᴡɪᴛʜ sᴀᴍᴇ ᴇxᴘᴏɴᴇɴᴛs ᴀʀᴇ ᴄᴀʟʟᴇᴅ ʟɪᴋᴇ ᴛᴇʀᴍs. ᴄᴏᴇғғɪᴄɪᴇɴᴛ ᴄᴀɴ ʙᴇ ᴅɪғғᴇʀᴇɴᴛ.
(ᴀ) ɪɴ ᴛʜᴇ ᴘᴏʟʏɴᴏᴍɪᴀʟs 11xʏᴢ2 ᴀɴᴅ −18xʏ2ᴢ, ᴛʜᴇ ᴠᴀʀɪᴀʙʟᴇs ᴀʀᴇ xʏᴢ2 ᴀɴᴅ xʏ2ᴢ.
sɪɴᴄᴇ ᴛʜᴇ ᴠᴀʀɪᴀʙʟᴇs ᴀʀᴇ ᴅɪғғᴇʀᴇɴᴛ, ᴛʜᴇʀᴇғᴏʀᴇ, 11xʏᴢ2 ᴀɴᴅ −18xʏ2ᴢ ᴀʀᴇ ɴᴏᴛ ʟɪᴋᴇ ᴛᴇʀᴍs.
(ʙ) ɪɴ ᴛʜᴇ ᴘᴏʟʏɴᴏᴍɪᴀʟs 7xʏᴢ2 ᴀɴᴅ −7xʏᴢ2, ᴛʜᴇ ᴠᴀʀɪᴀʙʟᴇs ᴀʀᴇ xʏᴢ2 ᴀɴᴅ xʏᴢ2.
sɪɴᴄᴇ ᴛʜᴇ ᴠᴀʀɪᴀʙʟᴇs ᴀʀᴇ sᴀᴍᴇ, ᴛʜᴇʀᴇғᴏʀᴇ, 7xʏᴢ2 ᴀɴᴅ −7xʏᴢ2 ᴀʀᴇ ʟɪᴋᴇ ᴛᴇʀᴍs.
(ᴄ) ɪɴ ᴛʜᴇ ᴘᴏʟʏɴᴏᴍɪᴀʟs 17xʏᴢ2 ᴀɴᴅ 7x2ʏᴢ, ᴛʜᴇ ᴠᴀʀɪᴀʙʟᴇs ᴀʀᴇ xʏᴢ2 ᴀɴᴅ x2ʏᴢ.
sɪɴᴄᴇ ᴛʜᴇ ᴠᴀʀɪᴀʙʟᴇs ᴀʀᴇ ᴅɪғғᴇʀᴇɴᴛ, ᴛʜᴇʀᴇғᴏʀᴇ, 17xʏᴢ2 ᴀɴᴅ 7x2ʏᴢ ᴀʀᴇ ɴᴏᴛ ʟɪᴋᴇ ᴛᴇʀᴍs.
(ᴅ) ɪɴ ᴛʜᴇ ᴘᴏʟʏɴᴏᴍɪᴀʟs 3x2ʏ2ᴢ2 ᴀɴᴅ 13xʏᴢ2, ᴛʜᴇ ᴠᴀʀɪᴀʙʟᴇs ᴀʀᴇ x2ʏ2ᴢ2 ᴀɴᴅ xʏᴢ2.
sɪɴᴄᴇ ᴛʜᴇ ᴠᴀʀɪᴀʙʟᴇs ᴀʀᴇ ᴅɪғғᴇʀᴇɴᴛ, ᴛʜᴇʀᴇғᴏʀᴇ, 3x2ʏ2ᴢ2 ᴀɴᴅ 13xʏᴢ2 ᴀʀᴇ ɴᴏᴛ ʟɪᴋᴇ ᴛᴇʀᴍs.
Step-by-step explanation:
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