Solve the equation:-
$(1.5 p + 1.2 q)^{2} - (1.5 p - 1.2 q)^{2}$

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Solution

$(1.5 p + 1.2 q)^{2} - (1.5 p - 1.2 q)^{2}$
use $: [a^{2} - b^{2} = (a - b) (a + b)]$
$= [1.5 p + 1.2 q - (1.5 p - 1.2 q)] [1.5 p + 1.2 q + (1.5 p - 1.2 q)]$
$= [1.5 p + 1.2 q - 1.5 p + 1.2 q] [1.5 p + 1.2 q + 1.5 p - 1.2 q]$
$= [2.4 q] [3 p]$
$= 7.2 p q$

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