The Simplified value of the expression 2(b-a)+5(b-a) is 7b-7a .
Distributive property for real numbers "a", "b" and "c" is defined as
a(b-c)=a*b-a*c.
In the given question
=2(b-a)+5(b-a)
Applying Distributive Property
=2*b-2*a+5*b-5*a
=2b-2a+5b-5a
Combining the like terms together
=2b+5b-2a-5a
=7b-7a (adding the like terms )
Therefore , the Simplified value of the expression 2(b-a)+5(b-a) is 7b-7a .
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