Evaluate $3 m^{2} - 5 n^{2} + 1$ at $m = - 3, n = 1$

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Solution

The given expression $= 3 m^{2} - 5 n^{2} + 1$
we need to find the value of the given expression at $m = - 3, n = 1$
by putting the value of $m$ and $n$ in the expression,
$\Rightarrow 3 m^{2} - 5 n^{2} + 1 \Rightarrow 3 (- 3^{2}) - 5 (1^{2}) + 1 \Rightarrow 3 (9) - 5 (1) + 1 \Rightarrow \Rightarrow 27 - 5 + 1 \Rightarrow 23$
Thus, the value of the given expression $= 23$

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