Find and explain the error in the work below.

(- 4m+2)(2m +5)
4m(2m) +4m(5) + 2(2m) + 2(5)
-8m + 20m + 4m + 10
-8m 2 + 24m + 10

1 answer

The error in the work above is in the last line. The expression "-8m 2" should be "-8m^2". The exponent should be written as a superscript, not as a regular "2". The corrected expression is:

-8m^2 + 24m + 10
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