A) \[{{a}^{2}}{{x}^{2}}+{{b}^{2}}{{y}^{2}}\]
B) \[{{(ax+by)}^{2}}\]
C) \[{{(bx+ay)}^{2}}\]
D) \[(ax+by)(bx+ay)\]
Correct Answer: B
Solution :
[b] The given expression can be expressed as \[{{a}^{2}}{{x}^{2}}(bx+ay)+2{{a}^{2}}{{y}^{2}}bx+2{{b}^{2}}{{x}^{2}}ay\] \[\frac{\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,+{{b}^{2}}{{y}^{2}}(bx+ay)}{bx+ay}\] \[={{a}^{2}}{{x}^{2}}+{{b}^{2}}{{y}^{2}}+2ax.by\] \[={{(ax+by)}^{2}}\]You need to login to perform this action.
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