Question

49x^4-168x^2y^2+144y^2​

Answer 1

$Given \: 49x^{4} - 168x^{2}y^{2} + 144y^{2} \\= (7x^{2})^{2} - 2\times (7x^{2}) \times (12y)^{2} \\= ( 7x^{2} - 12y)^{2}$

$\boxed { \pink { Since, a^{2} -2ab + b^{2} = (a-b)^{2} }}$

$= ( 7x^{2} - 12y)( 7x^{2} - 12y)$

Therefore.,

$\red {49x^{4} - 168x^{2}y^{2} + 144y^{2}}$

$\green { = ( 7x^{2} - 12y)( 7x^{2} - 12y)}$

•••♪