Holla
Plz solve it
64x3 - 125y3
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Answer:
(4x - 5y) • (16x2 + 20xy + 25y2)
Step by step explanation:
sᴛᴇᴘ 1 :ᴇϙᴜᴀᴛɪᴏɴ ᴀᴛ ᴛʜᴇ ᴇɴᴅ ᴏғ sᴛᴇᴘ 1 : (64 • (x3)) - 53ʏ3 sᴛᴇᴘ 2 :ᴇϙᴜᴀᴛɪᴏɴ ᴀᴛ ᴛʜᴇ ᴇɴᴅ ᴏғ sᴛᴇᴘ 2 : 26x3 - 53ʏ3 sᴛᴇᴘ 3 :ᴛʀʏɪɴɢ ᴛᴏ ғᴀᴄᴛᴏʀ ᴀs ᴀ ᴅɪғғᴇʀᴇɴᴄᴇ ᴏғ ᴄᴜʙᴇs:
3.1 ғᴀᴄᴛᴏʀɪɴɢ: 64x3-125ʏ3
ᴛʜᴇᴏʀʏ : ᴀ ᴅɪғғᴇʀᴇɴᴄᴇ ᴏғ ᴛᴡᴏ ᴘᴇʀғᴇᴄᴛ ᴄᴜʙᴇs, ᴀ3 - ʙ3ᴄᴀɴ ʙᴇ ғᴀᴄᴛᴏʀᴇᴅ ɪɴᴛᴏ
(ᴀ-ʙ) • (ᴀ2 +ᴀʙ +ʙ2)
ᴘʀᴏᴏғ : (ᴀ-ʙ)•(ᴀ2+ᴀʙ+ʙ2) =
ᴀ3+ᴀ2ʙ+ᴀʙ2-ʙᴀ2-ʙ2ᴀ-ʙ3 =
ᴀ3+(ᴀ2ʙ-ʙᴀ2)+(ᴀʙ2-ʙ2ᴀ)-ʙ3 =
ᴀ3+0+0+ʙ3 =
ᴀ3+ʙ3
ᴄʜᴇᴄᴋ : 64 ɪs ᴛʜᴇ ᴄᴜʙᴇ ᴏғ 4
ᴄʜᴇᴄᴋ : 125 ɪs ᴛʜᴇ ᴄᴜʙᴇ ᴏғ 5
ᴄʜᴇᴄᴋ : x3 ɪs ᴛʜᴇ ᴄᴜʙᴇ ᴏғ x1
ᴄʜᴇᴄᴋ : ʏ3 ɪs ᴛʜᴇ ᴄᴜʙᴇ ᴏғ ʏ1
ғᴀᴄᴛᴏʀɪᴢᴀᴛɪᴏɴ ɪs :
(4x - 5ʏ) • (16x2 + 20xʏ + 25ʏ2)