how are the product of the sum and difference of two term related using the two
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franzashlyfranzashly
When multiplying the sum and the difference of the same two terms, the result will be the square of the first term minus the square of the second term, with no "middle" term.
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ᴀɴꜱᴡᴇʀ:
ɪᴛ ɪꜱ ꜱᴛᴀᴛᴇᴅ ᴀꜱ: ᴛʜᴇ ᴘʀᴏᴅᴜᴄᴛ ᴏꜰ ᴛʜᴇ ʙɪɴᴏᴍɪᴀʟ ꜱᴜᴍ ᴀɴᴅ ᴅɪꜰꜰᴇʀᴇɴᴄᴇ ɪꜱ ᴇQᴜᴀʟ ᴛᴏ ᴛʜᴇ ꜱQᴜᴀʀᴇ ᴏꜰ ᴛʜᴇ ꜰɪʀꜱᴛ ᴛᴇʀᴍ ᴍɪɴᴜꜱ ᴛʜᴇ ꜱQᴜᴀʀᴇ ᴏꜰ ᴛʜᴇ ꜱᴇᴄᴏɴᴅ ᴛᴇʀᴍ. ᴡᴏʀᴋᴇᴅ-ᴏᴜᴛ ᴇxᴀᴍᴘʟᴇꜱ ᴏɴ ᴛʜᴇ ᴘʀᴏᴅᴜᴄᴛ ᴏꜰ ꜱᴜᴍ ᴀɴᴅ ᴅɪꜰꜰᴇʀᴇɴᴄᴇ ᴏꜰ ᴛᴡᴏ ʙɪɴᴏᴍɪᴀʟꜱ.
ꜱᴛᴇᴘ-ʙʏ-ꜱᴛᴇᴘ ᴇxᴘʟᴀɴᴀᴛɪᴏɴ:
ᴇxᴀᴍᴘʟᴇ: ꜰᴀᴄᴛᴏʀ ʏ 3 − 8 {ʏ^3} - 8 ʏ3−8. ᴛʜɪꜱ ɪꜱ ᴀ ᴄᴀꜱᴇ ᴏꜰ ᴅɪꜰꜰᴇʀᴇɴᴄᴇ ᴏꜰ ᴛᴡᴏ ᴄᴜʙᴇꜱ ꜱɪɴᴄᴇ ᴛʜᴇ ɴᴜᴍʙᴇʀ 8 ᴄᴀɴ ʙᴇ ᴡʀɪᴛᴛᴇɴ ᴀꜱ ᴀ ᴄᴜʙᴇ ᴏꜰ ᴀ ɴᴜᴍʙᴇʀ, ᴡʜᴇʀᴇ 8 = ( 2 ) ( 2 ) ( 2 ) = 2 3 8 = \ʟᴇꜰᴛ( 2 \ʀɪɢʜᴛ)\ʟᴇꜰᴛ( 2 \ʀɪɢʜᴛ)\ʟᴇꜰᴛ( 2 \ʀɪɢʜᴛ) = {2^3} 8=(2)(2)(2)=23. ᴀᴘᴘʟʏ ᴛʜᴇ ʀᴜʟᴇ ꜰᴏʀ ᴅɪꜰꜰᴇʀᴇɴᴄᴇ ᴏꜰ ᴛᴡᴏ ᴄᴜʙᴇꜱ, ᴀɴᴅ ꜱɪᴍᴘʟɪꜰʏ.
Sana nakatulong po ako:D