Question

use the distributive property to evaluate the expressions1. 5( y - 3)2. -4(-2x + 6)3. 1 over 2 (6a + 10)

Answer 1

The distributive property says that

`a(x+y)=ax+ay`

(1). Using the above fact, the expression 5(y -3) becomes

`5(5-y)=5(5)-5(y)`
`\rightarrow\textcolor{#FF7968}{25-5y.}`

(2).

`-4(-2x+6)=-4(-2)x+6(-4)`
`\textcolor{#FF7968}{8x-24}`

(3).

`(1)/(2)(6a+10)=(1)/(2)(6a)+(1)/(2)(10)`
`\rightarrow\textcolor{#FF7968}{3a+5.}`