Question

factorise (x²-y²)z+(y²-z²)x solve this througly​

Answer 1

Answer:

(x - z) (xz + y²)

Step-by-step explanation:

$\tt \orange { \underline{ \red{Factorisation : }}}$

$\bold \red{(x²-y²)z+(y²-z²)x} \\ \bold \green{ = {x}^{2}z - z {y^{2} + x {y}^{2} - x {z}^{2} } } \\ \bold \green{ = {x}^{2}z - x {z}^{2} + x {y}^{2} - z {y}^{2} } \\ \bold \green{ = xz(x - z) + {y}^{2}(x - z) } \\ \bold \blue{ = (x - z)(xz + {y}^{2}) }$

Answer 2

Step-by-step explanation:

(x²−y²)z+(y²−z²)x=x2z−zy2+xy2−xz2=x2z−xz2+xy2−zy2=xz(x−z)+y2(x−z)=(x−z)(xz+y2)