Exercise 32 Page 113

We want to factor out the coefficient of the variable term — 0.15. Let's rewrite each term as a product of 0.15 and some other factor. To do so, we need to think of a number that gives 0.072 when multiplied by 0.15. We can find it by dividing 0.072 by 0.15. 0.072 = 0.15 * ? ⇔ 0.072 ÷ 0.15 = ? The quotient equals 0.48, which means that 0.072 is 0.15 times 0.48. Now we can rewrite each term as a product of two factors. 1{0.15c &= {\color{#FD9000}{0.15}} \cdot c \\[0.5em] 0.072 &= {\color{#FD9000}{0.15}} \cdot 0.48} Finally, we will use the Distributive Property to factor the expression. Let's go!

0.15c- 0.072

SplitIntoFactors

Split into factors

0.15 * c-0.15* 0.48

FactorOut

Factor out 0.15

0.15(c-0.48)