question 1 of 14.2 last question

Asked by Jaskaranjeet | 13th Nov, 2015, 10:26: AM

Expert Answer:

Q u e s t i o n colon space F a c t o r i s e space t h e space e x p r e s s i o n comma space a to the power of 4 plus 2 a squared b squared plus b to the power of 4  S o l u t i o n colon C o n s i d e r space t h e space g i v e n space e x p r e s s i o n comma space a to the power of 4 plus 2 a squared b squared plus b to the power of 4 colon R e w r i t i n g space t h e space g i v e n space e x p r e s s i o n comma space w e space h a v e comma a to the power of 4 plus 2 a squared b squared plus b to the power of 4 equals a to the power of 4 plus a squared b squared plus a squared b squared plus b to the power of 4 space space space space space space space space space space space space space space space space space space space space space space space space equals a squared open parentheses a squared plus b squared close parentheses plus b squared open parentheses b squared plus a squared close parentheses space space space space space space space space space space space space space space space space space space space space space space space space equals a squared open parentheses a squared plus b squared close parentheses plus b squared open parentheses a squared plus b squared close parentheses space space space space space space space space space space space space space space space space space space space space space space space space equals open parentheses a squared plus b squared close parentheses open parentheses a squared plus b squared close parentheses space space space space space space space space space space space space space space space space space space space space space space space space equals open parentheses a squared plus b squared close parentheses squared   W e space c a n space a l s o space f a c t o r i s e space t h e space a b o v e space p r o b l e m space u sin g space t h e space i d e n t i t y comma open parentheses x plus y close parentheses squared equals x squared plus 2 x y plus y squared space a n d space s u b s t i t u t i n g space x equals a squared space a n d space y equals b squared

Answered by Vimala Ramamurthy | 13th Nov, 2015, 11:40: AM