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

1 answer

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.
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