Question

One of the steps Misaki used to solve an equation is shown below.

Which property justifies the step shown?

2q(q+4)=10 2q^(2)+8q=10



multiplicative identity property
associative property
commutative property
distributive property
inverse property

Answer 1

Distributive property

Explanation:

The given equation is:

`2q(q+4)=10`

To solve this equation, we expand the left hand side using the distributive property to obtain:

`2q^2+8q=10`

That was exactly what Miskai did.

Therefore the property that justifies his step shown is the distributive property.

This property says that, if a, b, and c are real numbers then,

`a(b+c)=ab+bc`