Question

simplify 2x²y-[4y²x-{3x²y-(4x²y-2xy²)}]​

Answer 1

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$\huge\blue{\mid{\fbox{\tt{Answer}}\mid}}$

$\: \: \implies \underline { \dagger\bf \pink{simplify}}$

$\: \: \dashrightarrow \bf{2 {x}^{2} y - (4 {y}^{2} x - (3 {x}^{2} y - ( {4x}^{2} y - 2x {y}^{2} )}$

$\dashrightarrow \bf{2 {x}^{2}y - (4 {y}^{2}x - (3 {x}^{2} y - 4 {x}^{2} y + 2x {y}^{2} )}$

$\dashrightarrow \bf{2 {x}^{2}y - ( {4y}^{2}x - ( - {x}^{2} y + 2x {y}^{2} )}$

$\dashrightarrow \bf{2 {x}^{2} y - (4 {y}^{2}x + {x}^{2} y - 2x {y}^{2})}$

$\dashrightarrow \bf{2 {x}^{2} y - (2 {x}^{2} y + {y}^{2}x})$

$\: \dashrightarrow \bf{2 {x}^{2}y - 2 {x}^{2} y - {y}^{2}x}$

$\dashrightarrow \boxed { \bf \red{ - {y}^{2} x \: is \: the \: answer}}$

Answer 2

Answer:

      x²y - 2xy²

Step-by-step explanation:

  2x²y - [4y²x - { 3x²y -( 4x²y - 2xy² )} ]​

= 2x²y - [4y²x - { 3x²y - 4x²y + 2xy²} ]​

= 2x²y - [4y²x - 3x²y + 4x²y - 2xy² ]​

= 2x²y - 4y²x + 3x²y - 4x²y + 2xy²

= 2x²y + 3x²y - 4x²y - 4y²x + 2xy²

= x²y - 2xy²