Question

pablo is simplifying the exppresion -1/4(8+12)-(-2+5)
He used the steps below to simplify the expression.
-1/4(8+12)-(-2+5)
-2-3+2-5=-8
Which statement is true about the steps that Pablo used to simplify the expression?

Answer 1

The first one
Pablo is simplifying the expression -1/4 (8+12)-(-2+5)

Answer 2

For this case we have the following expression:

$-\frac{1}{4}(8 + 12) - (- 2 + 5)$

By definition, the distributive property states that:

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

Applying this property to the given expression, we have:

$-2-3 - (- 2 + 5)$

Likewise, the distributive property associated with the law of signs is applied, where:

- * - = +

- * + = -

+ * - = -

+ * + = +

$-2-3 + 2-5$

Grouping:

$-2-3-5 + 2$

Resolving:

$-10 + 2 = -8$

Answer:

The steps were:

Distributive property

Distributive property with law of signs

Algebraic sum