one of the factor of (a2-b2)(c2-d2)-4abcd is
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(a² - b²)(c² - d²) - 4abcd = a²c² - a²d² - b²c² + b²d² - 2abcd - 2abcd
=a²c² + b²d² - 2abcd - { a²d² + b²c² - 2abcd } = (ac-bd)² - (ad- bc)²
= (ac-bd - ad + bc) (ac -bd + ad -bc) [ p² - q² = (p-q)(p+q) ]
Hope this helps.
=a²c² + b²d² - 2abcd - { a²d² + b²c² - 2abcd } = (ac-bd)² - (ad- bc)²
= (ac-bd - ad + bc) (ac -bd + ad -bc) [ p² - q² = (p-q)(p+q) ]
Hope this helps.
parisakura98pari:
You can factorise it further
(ac - bd - ad + bc) (ac - bd + ad - bc) = (a+b)(c-d)(a-b)(c+d)
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