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Addition and Subtraction of like Terms

viii Add: 3p2...

Question

Question 2 (viii)

Add:

$3 p^{2} q^{2} - 4 p q + 5, - 10 p^{2} q^{2}, 15 + 9 p q + 7 p^{2} q^{2}$

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Solution

$3 p^{2} q^{2} - 4 p q + 5, - 10 p^{2} q^{2}, 15 + 9 p q + 7 p^{2} q^{2} = 3 p^{2} q^{2} - 4 p q + 5 + (- 10 p^{2} q^{2}) + 15 + 9 p q + 7 p^{2} q^{2}$
$= 3 p^{2} q^{2} - 10 p^{2} q^{2} + 7 p^{2} q^{2} - 4 p q + 9 p q + 5 + 15$
$= (3 - 10 + 7) p^{2} q^{2} + (- 4 + 9) p q + 20$
$= 0 p^{2} q^{2} + 5 p q + 20$
$= 5 p q + 20$

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(4 p q + 3 q)^{2} - (4 p q - 3 q)^{2} = 48 p q^{2}

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