How do you find the product 4km2(8km2+2k2m+5k)?

1 Answer
May 29, 2018

4km2(8km2+2k2m+5k)=32k2m4+8k3m3+20k2m2

Explanation:

Simplify:

4km2(8km2+2k2m+5k)

Distribute 4km2 by multiplying by each of the terms in parentheses.

(4km28km2)+(4km22k2m)+(4km25k)

Recombine the constants and variables.

(48kkm2m2)+(42kk2m2m)+(45kkm2)

Multiply the constants.

(32kkm2m2)+(8kk2m2m)+(20kkm2)

Apply product rule: aman=am+n

Recall that no exponent is understood to be 1.

(32k1+1m2+2)+(8k1+2m2+1)+(20k1+1m2)

Simplify.

32k2m4+8k3m3+20k2m2