Question

Simplify the product using the distributive property. (5h 2)(3h – 3)

Answer 1

I'm assuming there is a + sign between the 5h & the 2.

But you first get:
15h^2-15h+6h-6

Which simplifies to:
15h^2-9h-6

Answer 2

`(5h+2)(3h-3)=15h^2-9h-6`

Explanation:

Given : (5h+2)(3h – 3)

We have to find the product using distributive property

Consider the given expression (5h+2)(3h – 3)

Distributive property states that for given numbers a , b and c following holds, a(b + c) = ab + ac

Apply
`\left(a+b\right)\left(c+d\right)=ac+ad+bc+bd` on the given product, we have,

`=5h\cdot \:3h+5h\left(-3\right)+2\cdot \:3h+2\left(-3\right)`

Simplify by apply plus minus rule,
`+\left(-a\right)=-a`

We have,

`=5\cdot \:3hh-5\cdot \:3h+2\cdot \:3h-2\cdot \:3`

Adding similar terms,

Similar terms are term having same variable with same degree.

We have,

`(5h+2)(3h-3)=15h^2-9h-6`