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

Respuesta :

Answer:

Distributive property

Step-by-step explanation:

The given equation is:

[tex]2q(q+4)=10[/tex]

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

[tex]2q^2+8q=10[/tex]

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,

[tex]a(b+c)=ab+bc[/tex]