Question

Like terms and distributive property simplify each expression by using the Distributive Property and by combining like terms.

Answer 1

The Distributive property is express as : a(b + c ) =ab + ac

In the given expression:

`(1)/(2)(4x-8)-(1)/(3)(15x-9)`

Apply distributive property:

`\begin{gathered} (1)/(2)(4x-8)-(1)/(3)(15x-9) \\ (1)/(2)(4x-8)-(1)/(3)(15x-9)=(4x)/(2)-(8)/(2)-(15x)/(3)+(9)/(3) \\ (1)/(2)(4x-8)-(1)/(3)(15x-9)=2x-4-5x+3 \\ (1)/(2)(4x-8)-(1)/(3)(15x-9)=-3x-1 \\ (1)/(2)(4x-8)-(1)/(3)(15x-9)=-(3x+1) \end{gathered}`

Answer : -(3x + 1)