Factorise the following: ax 2 - bx 2 + ay 2 - by 2 + az 2 - bz 2 .

ax 2 - bx 2 + ay 2 - by 2 + az 2 - bz 2 = x 2 (a - b) + y 2 (a - b) + z 2 (a - b) = (a - b)(x 2 + y 2 + z 2 ). Hence, ax 2 - bx 2 + ay 2 - by 2 + az 2 - bz 2 = (a - b)(x 2 + y 2 + z 2 ).

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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Mathematics

Factorise the following:
ax² - bx² + ay² - by² + az² - bz².

Factorisation

Answer

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Factorise the following:ax2 - bx2 + ay2 - by2 + az2 - bz2.

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