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Order of Operations

If p=3 and ...

Question

If $p = 3$ and $q = - 3$ , find the value of:
a) $2 p + q - 3 q p$
b) $p^{2} q^{2} + p^{3} - q^{3} + {p q}^{2} + p^{2} q$

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Solution

a). $2 p + q - 3 p q$
=> $2 (3) + (- 3) - 3 (3) (- 3)$
=> $6 - 3 + 27$
=> $30$

b). $p^{2} q^{2} + p^{3} - q^{3} + p q^{2} + p^{2} q$
=> $3^{2} (- 3)^{2} + 3^{3} - (- 3)^{3} + 3 (- 3)^{2} + 3^{2} (- 3)$
=> $81 + 54 + 27 - 27$
=> $135$

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