Simplify the product using the distributive property. (5h 2)(3h – 3)
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:
\((5h+2)(3h-3)=15h^2-9h-6\)
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,
\((5h+2)(3h-3)=15h^2-9h-6\)