Answer:
Option A) -2(a+7b) is correct
Therefore -2(3a+6b)+(4a-2b)=-2(a+7b)
The equivalent expression to the given expression is -2(a+7b)
Step-by-step explanation:
Given expression is -2(3a+6b)+(4a-2b)
To find the equivalent expression to the given expression :
-2(3a+6b)+(4a-2b)
=-2(3a)-2(6b)+4a-2b ( apply the distributive property a(x+y)=ax+ay )
=-6a-12b+4a-2b
=-2a-14b ( adding the like terms )
=-2(a+7b) ( taking common term -2 outside )
Therefore -2(3a+6b)+(4a-2b)=-2(a+7b)
The equivalent expression to the given expression is -2(a+7b)
Therefore option A) -2(a+7b) is correct
