Question

(y^2+y)(x^4+3x^3-2x^3)=y^2(x^4+3x^3-2x^3)+y(x^4+3x^3-2x^3( is an example of:

Answer 1

Answer:

B. Distributive property

Step-by-step explanation:

The distributive property says

$(a+b)\cdot c=a\cdot b+b\cdot c$

You are given the expression

$(y^2+y)(x^4+3x^3-2x^3)=y^2(x^4+3x^3-2x^3)+y(x^4+3x^3-2x^3)$

Denote

$c=x^4+3x^3-2x^3$

then your expression is

$(y^2+y)\cdot c=y^2\cdot c+y\cdot c$

Here, you can see that distributive property was used.

Now, change c into the $x^4+3x^3-2x^3$ again

$(y^2+y)\cdot (x^4+3x^3-2x^3)=y^2\cdot (x^4+3x^3-2x^3)+y\cdot (x^4+3x^3-2x^3)$

to get the distributive property for the initial expression