Question

Simplify : (3.5a - 1.5b)^2 - (1.5a- 3.5b)^2​

Answer 1

Answer:

(3.5 a - 1.5 b ) ^ 2 - ( 1.5 a - 3.5 b ) ^ 2

{ I am solving (3.5 a - 1.5 b ) ^ 2 by 2 nd equation and again    ( 1.5 a - 3.5 b ) ^ 2 by 2 nd equation }

Step-by-step explanation:

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

here a = 3.5 a , b = 1.5 b

also ,  a = 1.5 a , b = 3.5 b

(3.5 a - 1.5 b ) ^ 2 - ( 1.5 a - 3.5 b ) ^ 2

  =  [ ( 3.5 a ) ^2 + ( 1  .5 b )^ 2 - 2 ( 3.5 a) ( 1. 5 b) ] - [ ( 1  .5 a  )^ 2 + ( 3.5 b ) ^2 -

     2 ( 1. 5 a )  ( 3.5 b) ]

=  12.25 a^ 2 + 2. 25 b ^ 2  - 10.5 ab - 2.25 a ^2+ 1 2. 25 b ^ 2+ 10.25 ab

=[ 12.25 a^ 2 -  2.25 a ^2] +[ 2. 25 b ^ 2 + 12. 25 b ^ 2][  - 10.5 ab + 10.25 ab]

= 10 a^2  + 10 b^2 + 0

= 10 a^2  + 10 b^2