Simplify: |
(a) \[-\text{ }pcr\text{ }\left( {{p}^{2}}+{{q}^{2}}+{{r}^{2}} \right)\] |
(b) \[(px+qy)(ax-by)\] |
Answer:
(a) \[pqr({{p}^{2}}+{{q}^{2}}+{{r}^{2}})\] \[=(pqr)\times {{p}^{2}}(pqr)\times {{q}^{2}}(pqr)\times {{r}^{2}}\] \[=\text{ }{{p}^{3}}qrp{{q}^{3}}rpq{{r}^{3}}\] (b) \[(px+qy)\text{ }(axby)\] \[=px(axby)+qy(axby)\] \[=ap{{x}^{2}}pbxy+aqxyqb{{y}^{2}}\].
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