Mara and taylor need to rent a car for 6 days. if the cost of the car is $105 for each day, which of the following expressions could they use to figure out the total cost? 6(100) – 6(5) 6(110) + 6(5) 6(100) + 6(5)

Step-by-step explanation:

Given : Mara and Taylor need to rent a car for 6 days.

Also, the cost of the car is $105 for each day.

Then, the total cost to rent a car for 6 days will be :_

It can be written as

By using the distributive property: a(b+c)=ab+ac  , we have

Hence, the expression could they use to figure out the total cost :

can you add an image ?

step-by-step explanation:

hello from mrbilldoesmath!

answer:   (7x + 6y) ( 49x^2 - 42xy + 36y^2)

discussion:

in general, the factorization of a^3 + b^3 is

a^3 + b^ 3 = (a + b) ( a^2 - ab + b^2)

in our case note that 343 = 7^3 and 216 = 6^3 so the equation becomes:

343x^3 + 216y^3 = (7x)^3 + (6y)^3

if you think of a (above) as 7x and b as 6y the factorization becomes

343x^3 + 216y^3 =

((7x + 6y) (   (7x)^2 - 7x*6y + (6y)^2)   =

(7x + 6y) ( 49x^2 - 42xy + 36y^2)

you,

mrb

(a + b) (a^2 - a b + b^2)