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Leno4ka [110]
3 years ago
9

Apply the distributive property to create an equivalent expression. ​ 1/2 (2a−6b+8) = ?

Mathematics
2 answers:
katen-ka-za [31]3 years ago
5 0

Answer:

a-3b+4

Step-by-step explanation:

1/2 (2a−6b+8) =

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

=a-3b+4

Alex Ar [27]3 years ago
5 0

<u>Answer:</u>

<u><em>a - 3b + 4</em></u>

<u />

<u>Explanation:</u>

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

<em>* reminder</em>

<em>distributive property formula: a (b + c) = ab + ac</em>

<em />

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

\displaystyle\frac{1}{2} (2a - 6b + 8)\\\\\displaystyle\frac{1}{2} (2a) + \displaystyle\frac{1}{2} (-6b) + \displaystyle\frac{1}{2} (8)

Simplify by multiplying.

\displaystyle\frac{1}{2}(2a)+\displaystyle\frac{1}{2}(-6b)+\displaystyle\frac{1}{2}(8)\\\\a+\displaystyle\frac{1}{2}(-6b)+\displaystyle\frac{1}{2}(8)\\\\a-3b+\displaystyle\frac{1}{2}(8)\\\\a-3b + 4

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

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