# Use the distributive property to expand each algebraic expression. 5(6+x)

## Answers

5(6 + x) expanded using distributive property is 30 + 5x

Solution:

Given that, we have to expand using distributive property

Given expression is:

5(6 + x)

Let us first understand about distributive property

The distributive property lets you multiply a sum by multiplying each addend separately and then add the products.

The distributive property can be represented as:

a(b + c) = ab + bc

Thus, from given expression,

[tex]5(6+x) = (5 \times 6) + (5 \times x)\\\\5(6+x) = 30 + 5x[/tex]

Thus the given algebraic expression is expanded using distributive property

5x2f - 5x6g which is 10f-30g

-1/4a+1/2b

Step-by-step explanation:

-1/4×(a-2b)=

= -1/4a-1/4×(-2b)=

= -1/4a+1/2b :)

-1a/4 + 2b/4

Step-by-step explanation:

-1/4(a - 2b)

Using the distributive property, we have

-1/4 x a -1/4 x -2b

Negative negative becomes positive

We have

-1a/4 + 2b/4

10f-30g

Step-by-step explanation:

we have:

5(2f - 6g)

we apply distributive property:

5(2f - 6g)

5*2f+5*(-6g)

finally we have:

10f-30g

Expanding, you get 5*2f-5*6g. You then get 10f-30g

not sure but someone correct me if i'm wrong but I think its 10f-30g

Step-by-step explanation:

Multiply 8 with 4 and 7