Respuesta :
It would be D, 2 x 5x is 10x, 2 x 1 is 2, if you put them together it makes 10x + 2
Answer:
Option D) 2(5x + 1)
Step-by-step explanation:
We are given an expression in the question:
[tex]10x + 2[/tex]
We have to find the equivalent expression to the given expression.
Distributive Property:
- The distributive property helps to multiply a sum by multiplying each addend separately and then add the products.
- [tex]a(b+c)=a(b)+a(c) = ab +ac[/tex]
A)
[tex]x(10 + 2)\\=x(10)+x(2)\\=10x + 2x\\=12x[/tex]
which is not equal to the given expression.
B)
[tex]10(x + 2)\\=10(x)+10(2)\\=10x+20[/tex]
which is not equal to the given expression.
C)
[tex]2(x + 2)\\=2(x) + 2(2)\\=2x +4[/tex]
which is not equal to the given expression.
D)
[tex]2(5x + 1)\\=2(5x) + 2(1)\\=10x + 2[/tex]
which is equal to the given expression.
