Question

Apply the distributive property to create an equivalent expression.

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1/2 (2a−6b+8) = ?

Answer 1

a - 3b + 4

Step-by-step explanation:

According to the instructions, we must apply the distributive property to create an equivalent expression.

* reminder

distributive property formula: a (b + c) = ab + ac

Let's start by applying the distributive property to the expression.

`\displaystyle(1)/(2) (2a - 6b + 8)\\\\\displaystyle(1)/(2) (2a) + \displaystyle(1)/(2) (-6b) + \displaystyle(1)/(2) (8)`

Simplify by multiplying.

`\displaystyle(1)/(2)(2a)+\displaystyle(1)/(2)(-6b)+\displaystyle(1)/(2)(8)\\\\a+\displaystyle(1)/(2)(-6b)+\displaystyle(1)/(2)(8)\\\\a-3b+\displaystyle(1)/(2)(8)\\\\a-3b + 4`

Therefore, an equivalent expression to the given expression is a - 3b + 4.

Answer 2

a-3b+4

Step-by-step explanation:

1/2 (2a−6b+8) =

=1/2*2a-1/2*6b+1/2*8

=a-3b+4