How do you simplify #4a^2c (2a - 5)#?

1 Answer
Jan 12, 2018

Answer:

#4a^2c(2a-5)=color(blue)(8a^3-20a^2c#

Explanation:

Simplify.

#4a^2c(2a-5)#

Expand using the distributive property: #a(b+c)=ab+ac#

#4a^2c(2a-5)=#

#4a^2cxx2a-4a^2cxx-5#

Apply the product rule: #b^mxxb^n=b^(m+n)#

(No exponent is understood to be #1#.

#4xx2a^(2+1)c-4a^2cxx-5#

Simplify.

#8a^3-4a^2cxx5#

Expand.

#8a^3-20a^2c#