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:

A. VERTICAL MULTIPLICATION

B.THE DISTRIBUTIVE PROPERTY

C. FOIL

D. MULTIPLYING 2 BINOMIALS

Answer 1

B

Explanation:

The distributive property

Answer 2

B. Distributive property

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