Question

Knowledge CheckUse the distributive property to remove the parentheses.--7(-5w+x-3)X 5

Answer 1

Step-by-step explanation

The distributive property states that:

`k\cdot\left(a+b+c\right?=k\cdot a+k\cdot b+k\cdot c.`

In this problem, we have the expression:

`-7\cdot(-5w+x-3)=(-7)\cdot(-5w+x-3).`

Comparing this expression with the general expression of the distributive property, we identify:

• k = (-7),

,

• a = -5w,

,

• b = x,

,

• c = -3.

Using the general expression for the distributive property with these values, we have:

`\left(-7\right)\cdot(-5w)+\left(-7\right)\cdot x+\left(-7\right)\cdot(-3).`

Simplifying the last expression, we get:

`35w-7x+21.`Answer

Applying the distributive property to eliminate the parenthesis we get:

`35w-7x+21`