Exercise 41 Page 114

Let's rewrite each term as a product of - 12 and some other factor. To do so, note that that product of two negative numbers gives a positive number. 1{ \text{-} \dfrac{1}{2}x &= {\color{#FD9000}{\text{-} \dfrac{1}{2}}} \cdot x \\[0.5em] 6 &= {\color{#FD9000}{\text{-} \dfrac{1}{2}}} \cdot (\text{-} 12) } Now we can use the Distributive Property to factor the expression. Let's go!

- 1/2x+6

SplitIntoFactors

Split into factors

- 1/2 * x +(- 1/2)* (- 12)

FactorOut

Factor out - 1/2

- 1/2[x+(- 12)]

AddNeg

a+(- b)=a-b

- 1/2(x-12)