Question

Use the distributive property and combine like terms to simplify: u(v−10)

Answer 1

uv - 10u

Explanation:

To distribute a problem, you have to multiply what is on the outside of the parenthesis with what is on the inside.

u · v = uv

u · -10 = -10u

Combined, u(v - 10) = uv - 10u.

Answer 2

What is the distributive property?

It is a property used for multiplying a monomial by a binomial or trinomial by "distributing" it. The property has a formula, which is:

`\sf{a(b+c)=ab+ac}`

Here, a got multiplied by b and c.

Similarly,

`\sf{u(v-10)=u\cdot v - u\cdot (-10)}`

Simplify:

`\sf{uv-10u}`

Hence, the answer is uv - 10u.