Question

2
5. Simplify:
x³y (x² - 2x + 5) + 2xy (x³ - 2x³+ 3y) and
find its value for x = -1 and y = 2.​

Answer 1

Hope this answers the question

Answer 2

${ \rm{ \large{given \: the \: value \: of \: \longrightarrow}}}$

${ \rm{ \large{x = ( - 1) \: and \: y = 2}}}$

${ \rm{ \large{ solution}}}$

${ \rm{ {x}^{3} y( {x - 2x + 5) }^{2} + 2xy {( {x}^{3} - {2x}^{3} + 3y)}^{2} }}$

${ \rm{ = {( - 1)}^{3} .2{ ({( - 1) - 2.( - 1) + 5}) }^{2} + 2. ( - 1).2 {( {( - 1)}^{3} - {2( - 1)}^{3} + 3.2)}^{2} }}$

${ \rm{ = {( - 1)} { .({( - 2) - 4.( - 1) + 5}) }^{2} . ( - 2). {( {( - 2)}^{3} + {2}^{3} + 6)}^{2} }}$

${ \rm{ = {( - 1)} { .({4 - 16 +2 5}) } . ( - 2). {( {( - 8)} + {8} + 6)}^{2} }}$

${ \rm{ = { ({4 + 16 - 2 5} )} . ( - 2). {( {64} + {64} + 36)}}}$

${ \rm{ = { ({4 + 16 - 2 5} )} . {(( - 128) - 128 - 72)}}}$

${ \rm{ = {1640 }}}$