Question

Simplify:
$(2x {}^{2} - 3xy {}^{2}) {}^{2}$
answer it please​

Answer 1

Answer:

$\displaystyle \sf \red{(2 {x}^{2} - 3x {y}^{2}) }$

Using (a-b)² = a² - 2ab + b² to expand the expression.

$\displaystyle \sf \red{(2 {x}^{2}) {}^{2} -2 \times 2 {x}^{2} \times 3x {y}^{2} + {(3x {y}^{2}) }^{2} }$

$\displaystyle \sf \red{4 {x}^{4} - 2 \times 2 {x}^{2} \times 3x {y}^{2} + (3xy {}^{2} ) {}^{2} }$

$\displaystyle \sf \red{4 {x}^{4} - 12 {x}^{3} y {}^{2} + (3x {y}^{2} ) {}^{2} }$

$\displaystyle \sf \red{4 {x}^{4} - 12 {x}^{3} {y}^{2} + 9 {x}^{2} {y}^{4} }$