Answer:
L.H.S =\[{{(4pq+3q)}^{2}}-{{(4pq-3q)}^{2}}\] \[={{(4pq)}^{2}}+2(4pq)(3q)+{{(3q)}^{2}}-[{{(4pq)}^{2}}-2(4pq)(3q)+{{(3q)}^{2}}]\] \[=16{{p}^{2}}{{q}^{2}}+24p{{q}^{2}}+9{{q}^{2}}-[16{{p}^{2}}{{q}^{2}}-24p{{q}^{2}}+9{{q}^{2}}]\] \[=16{{p}^{2}}{{q}^{2}}+24p{{q}^{2}}+9{{q}^{2}}-16{{p}^{2}}{{q}^{2}}+24p{{q}^{2}}-9{{q}^{2}}\] \[=48p{{q}^{2}}=R.H.S\]
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