Math, asked by krishaymanjunath, 4 months ago

Please Answer WITH steps | I promise to give Brainliest but if you give troll answers I will report

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Answered by joelpaulabraham
0

Answer:

((x/2) + y + z)² = (x²/4) + y² + z² + xy + 2yz + xz

Step-by-step explanation:

We know that,

(x + y + z)² = x² + y² + z² + 2(xy + yz + xz)

Now,

Replacing x with (x/2) we get,

((x/2) + y + z)² = (x/2)² + y² + z² + 2((x/2)y + yz + (x/2)z)

((x/2) + y + z)² = (x²/4) + y² + z² + 2((xy/2) + yz + (xz/2))

((x/2) + y + z)² = (x²/4) + y² + z² + xy + 2yz + xz

Hence,

((x/2) + y + z)² = (x²/4) + y² + z² + xy + 2yz + xz

Hope it helped and believing you understood it........All the best

Answered by spydevbrat
1

Answer:

x^2/4+y^2+z^2+xy+2yz+xz.

Step-by-step explanation:

= x^2/4+y^2+z^2+2×x/2×y+2yz+2×x/2×z

= x^2/4+y^2+z^2+xy+2yz+xz. Answer

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