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

Answer:

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

Step-by-step 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,

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