Emmeline is working on simplifying the following expression below with steps shown: (5x)2 + (5x2 - 5)^2 Step 1: 25x^2 + (5x^2 - 5)^2
Step 2: 25x^2 + 25x^2 + 25
Step 3: 50x^2 + 25
Step 4: 75x^2

Which statement is true regarding Emmeline’s work?
Emmeline’s work is entirely correct.
There is a mistake in step 2, only.
There are mistakes in step 2 and step 4.
There is a mistake in step 4, only.

that is the sum

step-by-step explanation:

there are no other answers without knowing the variables values

can you make your screen more see able?

then i might be able to .

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)

answer: 5

step-by-step explanation:

since, the range is the difference between the lowest and highest values of the given sample space.

and, here the sample space = { 3, 1, 0, 4, 1, 4, 2, 3, 0, 5, 0, 1, 1, 2, 0, 4, 1,4, 4 ,2 ,3 ,2 ,0 ,1 ,4 }

here, the highest value of the given sample = 5

and, the lowest value = 0

therefore, the range of the sample space = 5 - 0 = 5