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(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

(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 BIN class=

Answer :

frika

Answer:

B. Distributive property

Step-by-step explanation:

The distributive property says

[tex](a+b)\cdot c=a\cdot b+b\cdot c[/tex]

You are given the expression

[tex](y^2+y)(x^4+3x^3-2x^3)=y^2(x^4+3x^3-2x^3)+y(x^4+3x^3-2x^3)[/tex]

Denote

[tex]c=x^4+3x^3-2x^3[/tex]

then your expression is

[tex](y^2+y)\cdot c=y^2\cdot c+y\cdot c[/tex]

Here, you can see that distributive property was used.

Now, change c into the [tex]x^4+3x^3-2x^3[/tex] again

[tex](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)[/tex]

to get the distributive property for the initial expression

Answer:

B

Step-by-step explanation:

The distributive property

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