10 Factorise [Hint:- Use suitable identity]:- a) x4-100 - Maths - Algebraic Expressions and Identities

Question

10 Factorise [Hint:- Use suitable identity]:-

a )   x 4 - 100            
                 
                 
          c )   y 4 - 81 b )  
160 4 - 81 b 4              
                 
              d )   49 x 2
- 121 y 2

Neha Sethi · Accepted Answer

Dear student
a) x4-100=x22-102=x2-10x2+10    using a2-b2=a+ba-b=x2+10x2-102=x2+10x-10x+10     using a2-b2=a+ba-bc) y4-81=y22-92=y2-9y2+9    using a2-b2=a+ba-b=y2+9y2-32=  y2+9y-3y+3         using a2-b2=a+ba-bd) 49x2-121y2=7x2-11y2=7x-11y7x+11y    using a2-b2=a+ba-b
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10. Factorise [Hint:- Use suitable identity]:- a ) x 4 - 100 c ) y 4 - 81 b ) 160 4 - 81 b 4 d ) 49 x 2 - 121 y 2

10. Factorise [Hint:- Use suitable identity]:-

$a) x^{4} - 100 c) y^{4} - 81 b) 160^{4} - 81 b^{4} d) 49 x^{2} - 121 y^{2}$