Answer and step-by-step explanation:
To know why they are both the same, you can simplify them further by applying the distributive property of multiplication.
-5(1 - x)
= (-5)(1) + (-5)(-x)
= -5 + 5x
= 5x - 5
*Rearrange the factored form. A number with a variable(5x) should be the first term of the polynomial. The number(-5) will come after 5x because it has no variable(letter).
5(x - 1)
= (5)(x) + (5)(-1)
= 5x - 5
*Observe that the answers are the same. Thus, -5(1-x) and 5(x-1) are the same and can be written interchangeably.
