charginghypno1563
charginghypno1563 charginghypno1563
  • 06-04-2021
  • Mathematics
contestada

Use the distributive property to simplify 3 + 5c(2 + 6c) completely.​

Respuesta :

facundo3141592
facundo3141592 facundo3141592
  • 11-04-2021

Answer:

Distributive property says that:

(A + B)*C = A*C + B*C

Now let's try to use it in our expression:

3 + 5*c*(2 + 6*c)

Here we can take the two terms inside the parentheses as A and B, and the term that multiplies them as C, then distributing we get:

3 + (5*c)*2 + (5*c)*(6*c)

Now remember that the multiplications are associative and commutative, then we can write this as:

3 + (2*5)*c + (5*6)*(c*c)

3 + 10*c + 30*c^2

And we can't simplify it anymore.

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