Find and explain the error in the work below.
Multiply:
(-4m + 2)(2m + 5)
4m(2m) + 4m(5) +2(2m)+2(5)
-8m+4m +10
-8m2 +24m+10
The error in the work is in the third term of the solution. The distributive property was not correctly applied when multiplying 2(2m).
Correcting the error:
2(2m) should be evaluated as 2 * 2m, which gives us 4m.
Therefore, the correct solution is:
-8m^2 + 24m + 10.