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Question
If p = −2, q = −1 and r = 3, find the value of p2 + q2 − r2
Sum
Solution
\[p^2 + q^2 - r^2\]
Substituting p = -2, q = -1 and r = 3 in the given expression:
\[( - 2 )^2 + ( - 1 )^2 - (3 )^2 = ( - 2 \times - 2) + ( - 1 \times - 1) - (3 \times 3)\]
\[ \Rightarrow 4 + 1 - 9 = - 4\]
\[( - 2 )^2 + ( - 1 )^2 - (3 )^2 = ( - 2 \times - 2) + ( - 1 \times - 1) - (3 \times 3)\]
\[ \Rightarrow 4 + 1 - 9 = - 4\]
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