Question

Expand and simplify 4(2x - 1) + 3(2x +5)

Answer 1

Answer: 14x +11

Explanation:

4(2x - 1) + 3(2x +5) = 8x - 4 + 6x +15

= 8x + 6x + 15 - 4

= 14x + 11

Answer 2

14x + 11

Explanation:

`\boxed{\begin{minipage}{9.6cm}\underline{Distributive Property}\\\\Distributive multiplication over addition and subtraction:\\\\Addition:\;\;\:\:\:\:\;$a(b + c) = ab + ac$\\Subtraction:\;\;$a(b - c) = ab-ac$\\\end{minipage}}`

Use the distributive property to expand, then collect and combine like terms:

`\begin{aligned}4(2x - 1) + 3(2x +5)& = 4 \cdot 2x + 4 \cdot (-1) + 3 \cdot 2x + 3 \cdot 5\\&=8x-4+6x+15\\&=8x+6x+15-4\\&=14x+11\end{aligned}`