2a+3b−6(a−2b)=
To solve this problem, we'll apply the distributive property and combine like terms.
- Step 1: Apply the distributive property.
We have the expression 2a+3b−6(a−2b). Let's distribute the −6 across the terms inside the parentheses:
−6(a−2b)=−6⋅a+(−6)⋅(−2b)=−6a+12b.
- Step 2: Combine like terms.
Now substitute −6a+12b back into the expression:
2a+3b−6a+12b.
Combine the like terms, 2a and −6a, and 3b and 12b:
(2a−6a)+(3b+12b)=−4a+15b.
Therefore, the simplified expression is −4a+15b, which matches choice 2.