Question

factorise the following algebric expression
25z^2 – 4x² + 44xy – 121y^2​

Answer 1

Answer:

$25 {z}^{2} - 4 {x}^{2} + 44xy - 121 {y}^{2}$

$= {(5z)}^{2} - (4 {x}^{2} - 44xy + 121 {y}^{2} )$

$= {(5z)}^{2} - {(2x - 11y)}^{2}$

$(5z + 2x - 11y)(5z - 2x + 11y)$