Question

PLLEASSS I NEED HELP!!! PLEAASS I BEGGING YOU TO HELP!!!!!

(x^(4)+3x^(3)-2x^(3))(-5x^(2)+x)=(x^(4)+3x^(3)-2x^(3))(-5x^(2))+(x^(4)+3x^(3)-2x^(3))(x) is an example of:
A. The distributive property
B. vertical multiplication
C. Multiplying two binomials
D. FOIL

Answer 1

The distributive property is that a*(b+c)=a*b+a*c
Take a=(x^(4)+3x^(3)-2x^(3)), b=-5x^(2) and c=x.
Then you can write the left side as a(b+c) and then recognize the right side is ab+ac.
So it is an example of the distributive property