Question

The distributive property of multiplication justifies which of the following statements? A 3x + 4(y – z) = 3x + 4(y) + 4(-z) B 3(x)+ 3(y) + 3(z) = 27(xyz) C 8 + (-8) = 0 D (a + b) + c = (c + a) + b

Answer 1

The distributive property is used when we have to multiplicate a parenthesis:

`a*(b+c) = ab+ac`

So the corrects andwer is A) 3x + 4(y-z) = 3x + 4y - 4z, because:

`3x + 4(y-z) = 3x + 4*y + 4*(-z) = 3x + 4y - 4z`

B is incorrect, as
`3x + 3y + 3z 27\\eq xyz`

C is correct, as a number plus his opposite is always 0.

D is correct, but that's the associate property as it's correct that for any three numbers of an associative set, there's another operation with verifies the equality.