what is Binomial therome
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ʙɪɴᴏᴍɪᴀʟ ᴛʜᴇᴏʀᴇᴍ, sᴛᴀᴛᴇᴍᴇɴᴛ ᴛʜᴀᴛ ғᴏʀ ᴀɴʏ ᴘᴏsɪᴛɪᴠᴇ ɪɴᴛᴇɢᴇʀ ɴ, ᴛʜᴇ ɴᴛʜ ᴘᴏᴡᴇʀ ᴏғ ᴛʜᴇ sᴜᴍ ᴏғ ᴛᴡᴏ ɴᴜᴍʙᴇʀs ᴀ ᴀɴᴅ ʙ ᴍᴀʏ ʙᴇ ᴇxᴘʀᴇssᴇᴅ ᴀs ᴛʜᴇ sᴜᴍ ᴏғ ɴ + 1 ᴛᴇʀᴍs ᴏғ ᴛʜᴇ ғᴏʀᴍ.
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ᴡʜʏ ᴅᴏ ᴡᴇ ᴜsᴇ ʙɪɴᴏᴍɪᴀʟ ᴛʜᴇᴏʀᴇᴍ?
ᴛʜᴇ ʙɪɴᴏᴍɪᴀʟ ᴛʜᴇᴏʀᴇᴍ ᴛᴇʟʟs ᴜs ʜᴏᴡ ᴛᴏ ᴇxᴘᴀɴᴅ ᴇxᴘʀᴇssɪᴏɴs ᴏғ ᴛʜᴇ ғᴏʀᴍ (ᴀ+ʙ)ⁿ, ғᴏʀ ᴇxᴀᴍᴘʟᴇ, (x+ʏ)⁷. ᴛʜᴇ ʟᴀʀɢᴇʀ ᴛʜᴇ ᴘᴏᴡᴇʀ ɪs, ᴛʜᴇ ʜᴀʀᴅᴇʀ ɪᴛ ɪs ᴛᴏ ᴇxᴘᴀɴᴅ ᴇxᴘʀᴇssɪᴏɴs ʟɪᴋᴇ ᴛʜɪs ᴅɪʀᴇᴄᴛʟʏ. ʙᴜᴛ ᴡɪᴛʜ ᴛʜᴇ ʙɪɴᴏᴍɪᴀʟ ᴛʜᴇᴏʀᴇᴍ, ᴛʜᴇ ᴘʀᴏᴄᴇss ɪs ʀᴇʟᴀᴛɪᴠᴇʟʏ ғᴀsᴛ!
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Answer:
Binomial theorem, statement that for any positive integer n, the nth power of the sum of two numbers a and b may be expressed as the sum of n + 1 terms of the form. Binomial theorem.
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