Question

(a-b)^2(a+b)^2 ka simplify

Answer 1

Answer:

Step-by-step explanation:

(a - b )^2 = a^2 + b ^2 - 2ab

(a + b )^2 =a^2 + b ^2 + 2ab

(a - b )^2 × (a +b )^2

= (a ^2 + b ^2 - 2ab ) × ( a ^2 + b ^2 + 2ab )

= (a ^2 × a^2 ) + (a ^2 × b^2) + (a ^2 × 2ab) + (b ^2 × a^2) + (b ^2 × b^2 ) + (b^2 × 2ab )

+ (- 2ab × a^2) + ( - 2ab × b ^2) + ( - 2ab × - 2ab )

= (a ^4) + (a ^2b^2) + (2a^3 b ) + (a ^2b^2) + (b ^4) + (2ab^3) - (2a^3 b) - (2ab^3) + (4 a^2b^2) (∵ 2a^3 b - 2a^3 b = 0 and 2ab^3 - 2ab^3 = 0 )

= (a ^4) + (b ^4) + (2 a^2b^2) + ( 4 a^2b^2)

= (a ^4) + (b ^2) + ( 6 a^2b^2) is the answer.