Mathematics
Factorise the following:
(x2 - y2)z + (y2 - z2)x
Factorisation
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Answer
(x2 - y2)z + (y2 - z2)x = x2z - y2z + y2x - z2x
= x2z - xz2 + y2x - y2z
= xz(x - z) + y2(x - z)
= (x - z)(xz + y2).
Hence, (x2 - y2)z + (y2 - z2)x = (x - z)(xz + y2).
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