Mathematics: (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

The answer to this question is 3...

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

QueenBlumple4443

08.01.2022

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

0,0(0 оценок)