How do you simplify 4a^2c (2a - 5)4a2c(2a5)?

1 Answer
Jan 12, 2018

4a^2c(2a-5)=color(blue)(8a^3-20a^2c4a2c(2a5)=8a320a2c

Explanation:

Simplify.

4a^2c(2a-5)4a2c(2a5)

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

4a^2c(2a-5)=4a2c(2a5)=

4a^2cxx2a-4a^2cxx-54a2c×2a4a2c×5

Apply the product rule: b^mxxb^n=b^(m+n)bm×bn=bm+n

(No exponent is understood to be 11.

4xx2a^(2+1)c-4a^2cxx-54×2a2+1c4a2c×5

Simplify.

8a^3-4a^2cxx58a34a2c×5

Expand.

8a^3-20a^2c8a320a2c