Math, asked by Anonymous, 1 year ago

expand....(3a+4b+5c)2ka whole sq

Answers

Answered by Anonymous
19
Hi
Nice question

Question:-
(3a + 4b + 5c)² = ?

Solution:-

Using identity
(x + y + z)² = x² + y² + z² + 2xy + 2yz + 2zx

Now,
= (3a)² + (4b)² + (5c)² + 2(3a)(4b) + 2(4b)(5c) + 2(5c)(3a)
= 9a² + 16b² + 25c² + 24ab + 40bc + 30ac

Hope this helps you.

Anonymous: thanku...
Answered by ShuchiRecites
8
\textbf{ Hello Mate! }

 {(x + y + z)}^{2}  \\   =  {x}^{2}  +  {y}^{2}  +  {z}^{2}  + 2xy + 2yz + 2zx \\  \\  {(3a + 4b + 5c)}^{2}  \\  =  {(3a)}^{2}  +  {(4b)}^{2}  + {(5c)}^{2}  + 2(3a)(4b) \\  + 2(4b)(5c) + 2(5c)(3a) \\  \\  = 9 {a}^{2}  + 16 {b}^{2}  + 25 {c}^{2}  + 24ab + 40bc + 30ca

\textsf{ Have great future ahead! }

Anonymous: thanku..
ShuchiRecites: Most wlcm sis
ShuchiRecites: Thanks sis for attempting brainliest however I would give credit to first answerer for providing you solution first ☺
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