which polynomial identity will prove that 37=64-27?
difference squares
difference of cubes
sum of cubes
square of a binomial

Question

which polynomial identity will prove that 37=64-27?
difference squares 
difference of cubes
sum of cubes
square of a binomial

shrutipande9 · Answer

if u r confused...d best way is to apply each option....64 is a square of what? or cube of what?

solomonzelman · Answer

$$37=4^3-3^3$$

solomonzelman · Answer

I would therefore think B.

solomonzelman · Answer

Guys makes sense?

anonymous · Answer

yes i think it does

shrutipande9 · Answer

are u getting it @helpineedit

solomonzelman · Answer

OK, other questions then?

anonymous · Answer

what about for (3+6)^2=81 what would that be?

solomonzelman · Answer

$$ (3+6)^2=81$$$$ (3+6)^2=9^2$$you guesses?

anonymous · Answer

sum of cubes?

solomonzelman · Answer

cubes, where do you see cubes?

solomonzelman · Answer

I see squares, no?

anonymous · Answer

difference in squares then sorry

solomonzelman · Answer

Difference is subtracting, and you are not subtracting.

shrutipande9 · Answer

see u r talking about polynomial identities...tell me what all identities u know?

anonymous · Answer

square of a binomial

anonymous · Answer

@SolomonZelman

anonymous · Answer

and ik difference squares 
difference of cubes
sum of cubes
square of a binomial  @shrutipande9

solomonzelman · Answer

The square of a binomial is always a trinomial.

anonymous · Answer

it has to be the sum of cubes then

solomonzelman · Answer

Binomial is something like 4x+16 it involves a variable and your question does not.
Difference of squares is just   (a+b)(a-b)=a^2-b^2
Sum of cubes.        a^3 + b^3 = (a + b)(a^2 – ab + b^2) 
Difference of cubes.           a^3 – b^3 = (a – b)(a^2 + ab + b^2)

solomonzelman · Answer

$$(3+6)^2=81$$ doesn't really look like any of those.

anonymous · Answer

i know but it has to be i just dont know which one i though sum of cubes but i guess i was worng

hartnn · Answer

square of a binomial, 3^2 + 2*3*6 +6*2 = 81
the best among choices

hartnn · Answer

6^2 ***

solomonzelman · Answer

Yeah, it is far far from the truth though. It is invalid.

solomonzelman · Answer

(3+6) is not a binomial, and will never be it.

hartnn · Answer

the question just asks for ploynomial identity which will prove that.

solomonzelman · Answer

Well, it's not called a square of a binomial, is it?

solomonzelman · Answer

I agree it's the best choice, but the choices are all very bad.

hartnn · Answer

(3+6)^2
using the polynomial identity of square of binomila
= 3^2 + 2*3*6 +6^2 
= 81
hence proved.

solomonzelman · Answer

I can see this somewhat.

hartnn · Answer

:)

solomonzelman · Answer

I would not do that type of problem out of principle, if I god forbid had it.