(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

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asked Nov 16, 2019 223k views

2 Answers

Jansv · Answer 1 · 2019-11-21T21:00:48+0000

Answer:

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