Question

Factorize (x^2-y^2)z + (y^2-z^2)x​

Answer 1

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$\: \: \: \: \tt{(x {}^{2} - y {}^{2} )z + (y {}^{2} - z {}^{2} )x }\\ \\ \tt{= x {}^{2} z - y {}^{2} z + y {}^{2} x - z {}^{2} x} \\ \\ \tt{ = x {}^{2}z - z {}^{2} x + y {}^{2}x - y {}^{2}z } \\ \\ \tt{= xz(x - z) + y {}^{2} (x - z) }\\ \\ \tt{ = (x - z)(xz + y {}^{2} )}$