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Add the following expressions: p2 – q + r, q2 – r + p and r2 – p + q -

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Question

Add the following expressions:

p2 – q + r, q2 – r + p and r2 – p + q

Sum

Solution

We have, p2 –q + r + (q2 – r + p) + (r2 – p + q)

= p2 –q + r + q2 – r + p + r2 – p + q

On comparing the like terms,

= p2 + q2 + r2 –q + q + r – r + p – p

= p2 + q2 + r2 + 0 + 0 + 0

= p2 + q2 + r2

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