Find and explain the error in the work below.

Multiply: (-4m+2)(2m+5)
-4m(2m)+4m(5)+2(2m)+2(5)
-8m^2+20m+4m+10
-8m^2+24m+10
Find and explain the error the work for the given problem.

1 answer

The error in the work is in the signs while applying the distributive property.

When multiplying -4m(2m), the correct answer is -8m^2 as shown in the work. However, when multiplying -4m(5), it should be -4m * 5 = -20m, not +20m as shown. The rest of the calculations are correct.

So the correct work should be:

(-4m+2)(2m+5)
-4m(2m) - 4m(5) + 2(2m) + 2(5)
-8m^2 -20m + 4m + 10
-8m^2 -16m + 10
Similar Questions
  1. find and explain the error in the work below.Multiply: (2x-3)(6x+2) 2x(6x)+2x(2)-3(6x)+3(2) 12x^2+4x-18x+6 12x^2-14x+6
    1. answers icon 1 answer
  2. Find and explain the error in the work below.Multiply: (-4m+2)(2m+5) -4m(2m)+4m(5)+2(2m)+2(5) -8m^2+20m+4m+10 -8m^2+24m+10
    1. answers icon 1 answer
  3. 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. answers icon 1 answer
    1. answers icon 1 answer
more similar questions