50 points ! Why (A + B + C)^2 = A^2 + B^2 + C^2 + 2AB + 2BC + 2AC
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ஜ۩۞۩ஜ ӇЄƳƛ MƛƬЄ ஜ۩۞۩ஜ
Answer...
(a + b + c)²
= ( a + b + c )²
= ( a + b + c )(a + b + c)
= a(a + b + c) + b(a + b + c) + c(a + b + c)
= a² + ab + ac + ab + b² + bc + ac + bc + c²
= a² + b² + c² + 2ab + 2bc + 2ac
hence proved !
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Anonymous:
thanks for marking !
Answered by
1
Hey dear‼️
PROOF..
✍️ we will learn to expand the square of a trinomial (a + b + c).
Let (b + c) = x
Then (a + b + c)2 = (a + x)2 = a2 + 2ax + x2
= a2 + 2a (b + c) + (b + c)2
= a2 + 2ab + 2ac + (b2 + c2 + 2bc)
= a2 + b2 + c2 + 2ab + 2bc + 2ca
Therefore, (a + b + c)2 = a2 + b2 + c2 + 2ab + 2bc + 2ca
keep loving....❤️❤️❤️❤️✌️
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