Subtract a(b -5) from b( 5-a)

Dear Student, 
b ( 5-a ) - a ( b-5 )
= [ b×5 - a×b ] - [ a×b - 5×a ]
= [ 5b - ab ] - [ ab - 5a ]       [ multiplication of opposite sign gives negative sign i.e. (-) ×(+) = (-) ]
= 5b - ab - ab + 5a
= 5a + 5b - 2ab [ addition of negative sign gives addition but sign used is negative]
Regards

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