Math, asked by Draked2925, 11 months ago

if 3a+5b+4c=0 shiw that 27a^3 + 125b^3 +64c^3

Answers

Answered by Ashishkumar098
1
ᴇʟʟᴏ!!

ʜᴇʀᴇ's ʏᴏᴜʀ ᴀɴsᴡᴇʀ

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ɢɪᴠᴇɴ , 3ᴀ + 5ʙ + 4ᴄ = 0

ɴᴏᴡ ,

27 ᴀ^3 + 125 ʙ^3 + 64 ᴄ^3

= ( 3ᴀ )^3 + ( 5ʙ )^3 + ( 4ᴄ )^3

= 3 × 3ᴀ × 5ʙ × 4ᴄ 

[ • ᴡᴇ ᴋɴᴏᴡ , ɪғ ᴀ + ʙ + ᴄ = 0 ᴛʜᴇɴ , ᴀ^3 + ʙ^3 + ᴄ^3 = 3ᴀʙᴄ ]

= 180ᴀʙᴄ

sᴏ , ᴛʜᴇ ᴠᴀʟᴜᴇ ᴏғ ᴛʜᴇ ғᴏʟʟᴏᴡɪɴɢ ɪs 180ᴀʙᴄ.

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