simplify the following expression

Question

x+4(y+8x)
Write the property that justifies each step.

Answer 1

i interpreted this into two ways. first,

x+4(y+8x)
distribute 4 to each term inside the parenthesis (you multiply 4 to each):
x + 4y + 32x
then add similar terms (terms containing same variable):
33x + 4y

second interpretation,
(x+4)(y+8x)
use FOIL method:
F-first terms in both parenthesis will be multiplied, (x and y)
O-outer terms in both parenthesis will be multiplied, (x and 8x)
I-inner terms in both parenthesis will be multiplied, (4 and y)
L-last terms in both parenthesis will be multiplied, (4 and 8x),, then add them all.
thus:
xy + 8x^2 + 4y + 32x

so there,, :)