Question

Barbara used the distributive property to write an expression that is equivalent to 7 d + 63. Her work is shown below. The greatest common factor is 7 so 7 d + 63 = 7 (d + 63) What was Barbara's error?

Answer 1

Answer:

Barbara's did not factor out 63.

Step-by-step explanation:

63 can be factorize as 63 = 7 $\times$ 9 and 7 d can be factorize as 7 d = 7 $\times$ d

Therefore common term between 7 d and 63 is 7.

$\therefore 7 d + 63 = 7\left(d+9\right)$.

In Barbara's equation, it did not factorize 63 as it contains common term 7 in it. Therefore that is the error in Barbara's equation.