Question

If (x+y)=5;(x-y)=1 what is the valu of 8xy(x^2+y^2)
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Answer 1

$\red{\underline{\underline{\star \: {Answer:-}}}} \\ \\ \longrightarrow528.$

$\red{\underline{\underline{\star \: {Given:-}}}}$

$x + y = 5. \\ \\ x - y = 1.$

$\red{\underline{\underline{\star \: {To \: Find \: The \: value \: of:-}}}}$

$8xy( {x}^{2} + {y}^{2} ) = ?$

$\red{\underline{\underline{\star \: {Solution:-}}}}$

$\: \: \: \: \: \: \: x + y = 5. \\ \\ \: \: \: \: \: \: \: x - y = 1.$

___________________________$

$\: \: \: \: \: \cancel 2x \: \: \: \: \: \: \: = \cancel 6. \\ \\ \: \: \: \: \: \: \: \: x \: \: \: \: \: \: \: = 3.$

$\huge \boxed{x = 3.}$

Putting the of x= 3.

$x + y = 5 \\ \\ 3 + y = 5. \\ \\ \: \: \: \: \: \: \: \: y = 2.$

$\huge \boxed {y = 2.}$

A/Q,

$\longrightarrow \: 8xy( {x}^{2} + {y}^{2} ) \\ \\ \longrightarrow8 \times 2 \times 3( {3}^{2} + {2}^{2} ) \\ \\ \longrightarrow48(9 + 4) \\ \\ \longrightarrow528.$

Hence,

Our answer be.

$\huge \boxed{528.}$