The difference between 2/5(d-10)-2/3(d+6) is -56.
Firstly simplifying the terms to find the difference. Simplifying the first part -
Rewriting the expression
Expression 1 = 2/5(d - 10)
Multiplying the terms with the bracket
Expression 1 = 2d/5 - ((2×10)/5)
Multiplying the terms on Right Hand Side
Expression 1 = 2d/5 - 2×2
Performing multiplication
Expression 1 = 2d/5 - 4
Simplifying the second part -
Rewriting the expression
Expression 2 = 2/5(d + 6)
Multiplying the terms with the bracket
Expression 2 = 2d/5 + ((2×6)/5)
Multiplying the terms on Right Hand Side
Expression 2 = 2d/5 - 12×5
Performing multiplication
Expression 2 = 2d/5 - 60
Subtracting expression 2 from expression 1
Difference = 2d/5 - 60 - (2d/5 - 4)
2d/5 will be subtracted to give 0
Difference = - 60 + 4
Performing subtraction
Difference = - 56
Therefore, the difference between mentioned expressions is -56.
Learn more about difference -
brainly.com/question/24170327
#SPJ1
