(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 MULTIPLICATIONB.THE DISTRIBUTIVE PROPERTY C. FOILD. MULTIPLYING 2 BINOMIALS

Answer:B. Distributive propertyStep-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