Answer:
For this case we have the following expression:
(3/8)d + 3/4(3/8)d+3/4
We must factor the term that accompanies the variable.
We have then:
(3/8) (d + (3/4) * (8/3))(3/8)(d+(3/4)∗(8/3))
Rewriting the expression we have:
(3/8) (d + 8/4) (3/8) (d + 2)(3/8)(d+8/4)(3/8)(d+2)
We're going to check the result. To do this, we multiply the term 3/8 for each term within the parenthesis:
(3/8) d + 2 (3/8)(3/8)d+2(3/8)
Rewriting:
(3/8) d + 3/4(3/8)d+3/4
The factorization is correct.
(3/8) (d + 2)