Question

Use the Distributive Property to expand this expression.

z(–6.4 – 3.5x)

Answer 1

`z\left(-6.4\:-3.5x\right)=-6.4z-3.5zx`

Hence, Option 'C' is true.

Explanation:

Given the expression

`z\left(-6.4\:-3.5x\right)`

Apply distributive law:
`a\left(b-c\right)=ab-ac`

Here:
`a=z,\:b=-6.4,\:c=3.5x`

so the expression becomes

`z\left(-6.4\:-3.5x\right)=z\left(-6.4\right)-z\cdot \:\:3.5x`

`=-6.4z-3.5zx` ∵
`+\left(-a\right)=-a`

Therefore,

`z\left(-6.4\:-3.5x\right)=-6.4z-3.5zx`

Hence, option 'C' is true.