Math, asked by Anonymous, 11 months ago

50 points ! Why (A + B + C)^2 = A^2 + B^2 + C^2 + 2AB + 2BC + 2AC​

Answers

Answered by Anonymous
3

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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Answered by CUTESTAR11
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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