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ICSE Class 9 Answered

Factorise (a-b)² (c-d)² -4abcd
Asked by neerajmaurya326432 | 06 Apr, 2019, 12:45: PM
answered-by-expert Expert Answer
(a - b)² (c - d)² - 4abcd
(a2 - 2ab + b2)(c2 - 2cd + d2) - 4abcd
a2c2 - 2a2cd + a2d2 - 2abc2 + 4abcd - 2abd2 + b2c2 - 2b2cd + b2d2 - 4abcd
a2c2 - 2a2cd + a2d2 - 2abc- 2abd2 + b2c2 - 2b2cd + b2d2
 
a2c2 +  a2d2 + b2c2 + b2d2 - 2a2cd - 2abc2 - 2abd2 - 2b2cd
a2 (c2 + d2) + b2 (c2 + d2) - 2cd (a2 + b2) - 2ab(c2 + d2)
(c2 + d2)(a2 + b2- 2cd (a2 + b2) - 2ab(c2 + d2)
(a2 + b2)(c2 + d2 - 2cd) - 2ab(c2 + d2)
(a2 + b2)(c - d)2 - [(a + b)2 - (a2 + b2)] (c2 + d2)


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