These three turtles have entered a

race.

Read the information on each

contestant

Race the turtles. Which statements are true? Select all

that apply

The winning turtle had the fastest speed.

All the turtles had the same speed.

Calculate speed by multiplying distance by time.

Calculate speed by dividing distance by time.

Monique walked

28 cm in 8 minutes.

Courtney walked

33 cm in 6 minutes.

Angelica walked

20 cm in 5 minutes.

if you use photomath right away it will give you the answer not like this app that you have to wait for people.

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)