If $ x y + y x = 4$, than what is the value of $ x^2 y^2 + y^2 x^2 ?$

ঘ) 14 — Solution: $ x^2 y^2 + y^2 x^2 = ( x y )^ 2\; + ( y x )^ 2\; = ( x y + y x )^ 2\; - 2 x y y x = ( x y + y x )^ 2\; - 2$ = 4 2 - 2 = 16 - 2 = 14

If $ x y + y x = 4$, than what is the v… | Answer

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Bank Exam

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Al-Arafah Islami Bank Ltd. - Management Trainee Officer - 2017

If $\frac{x}{y} + \frac{y}{x} = 4$ , than what is the value of $\frac{{{x^2}}}{{{y^2}}} + \frac{{{y^2}}}{{{x^2}}}?$
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Solution:

\frac{{{x^2}}}{{{y^2}}} + \frac{{{y^2}}}{{{x^2}}} = {(\frac{x}{y})^{2\;}} + {(\frac{y}{x})^{2\;}} = {(\frac{x}{y} + \frac{y}{x})^{2\;}} - 2 \times \frac{x}{y} \times \frac{y}{x} = {(\frac{x}{y} + \frac{y}{x})^{2\;}} - 2

= 4 2 - 2 = 16 - 2 = 14

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If xy+yx=4\frac{x}{y} + \frac{y}{x} = 4yx​+xy​=4, than what is the value of x2y2+y2x2?\frac{{{x^2}}}{{{y^2}}} + \frac{{{y^2}}}{{{x^2}}}?y2x2​+x2y2​?Reading

If xy+yx=4\frac{x}{y} + \frac{y}{x} = 4yx​+xy​=4, than what is the value of x2y2+y2x2?\frac{{{x^2}}}{{{y^2}}} + \frac{{{y^2}}}{{{x^2}}}?y2x2​+x2y2​?

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If $\frac{x}{y} + \frac{y}{x} = 4$ , than what is the value of $\frac{{{x^2}}}{{{y^2}}} + \frac{{{y^2}}}{{{x^2}}}?$
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If $\frac{x}{y} + \frac{y}{x} = 4$ , than what is the value of $\frac{{{x^2}}}{{{y^2}}} + \frac{{{y^2}}}{{{x^2}}}?$