Exercise 43 Page 114

Let's rewrite each term as a product of - 14 and some other factor. To do so, note that that product of two negative numbers gives a positive number. 1{ \text{-} \frac{1}{2}x &= {\color{#FD9000}{\text{-} \frac{1}{4}}} \cdot 2x \

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\frac{5}{4}y &= {\color{#FD9000}{\text{-} \frac{1}{4}}} \cdot (\text{-}  5y )}

Now we can use the Distributive Property to factor the expression. Let's go!

- 1/2x- 5/4y

SplitIntoFactors

Split into factors

- 1/4 * 2x- (- 1/4) * (- 5y)

FactorOut

Factor out - 1/4

- 1/4[2x-(- 5y)]

SubNeg

a-(- b)=a+b

- 1/4(2x+5y)