1) Distributive property
2) Distributive property
3) Commutative property
4) Associative property
5) Distributive Property
To solve this, we need to understand what the 3 algebra laws/properties are.
- Associative properties; Associative property states that when 3 or more numbers are added or multiplied, we can change the grouping in an addition equation or in a multiplication equation and still arrive at the same answer before the change in order. For example;
x + (y + z) = (x + y) + z
Likewise; a × (b × c) = (a × b) × c
- Commutative properties; This property states that we can change the order of numbers in a multiplication or addition equation and still arrive at the same answer. For example;
x + y + z = z + x + y
Likewise, a × b × c = b × a × c
- Distributive property states that if a, b and c are three rational numbers, then then they can be related by the following;
a(b + c) = ab + ac
Looking at the question;
1) -2(3x + 5) + 4(2x - 1) = -6x -10 + 4(2x - 1)
This involves expanding the bracket of -2(3x + 5) to multiply each order and this follows the distributive property.
2) -6x -10 + 4(2x - 1) = -6x -10 + 8x - 4
This involves expanding the bracket of -4(2x - 1) to multiply each order and this follows the distributive property.
3) -6x -10 + 8x - 4 = -6x + 8x - 10 - 4
This involves the commutative property as the order of the numbers was changed.
4) -6x + 8x - 10 - 4 = (-6x + 8x) - 10 - 4
Grouping has been changed and thus it is Associative property.
5) (-6 + 8)x - 1(10 + 4)
Like terms have been collected showing the relationship between the term outside the bracket and the 2 inside the bracket. This is distributive function.
Read more at; brainly.com/question/19422200
