Mathematics
Factorise the following:
ax2 - bx2 + ay2 - by2 + az2 - bz2.
Factorisation
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Answer
ax2 - bx2 + ay2 - by2 + az2 - bz2
= x2(a - b) + y2(a - b) + z2(a - b)
= (a - b)(x2 + y2 + z2).
Hence, ax2 - bx2 + ay2 - by2 + az2 - bz2 = (a - b)(x2 + y2 + z2).
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