Question

Which polynomial identity will prove that 65 = 81 - 16?

Binomial Multiplication
Difference of Cubes
Sum of Cubes
Difference of Squares

Answer 1

well what type of numbers are 81 and 16..?

Answer 2

I think they're whole or real number. they're not prime

Answer 3

ok.... these are both special numbers.... not primes.... a special type of composites...

and look at the answer choices for clues...

Answer 4

I think either A or B....

Answer 5

I'm not sure what it is. @campbell_st

Answer 6

ok... cube are 1^3 = 1 2^3 = 8 3^3 = 27....

do you think those numbers of 81 and 16 will be in that pattern..?

Answer 7

nope

Answer 8

ok... so I'll eliminate 1... and you have eliminated 2...

so we know 81 and 16 aren't cubes... any thoughts....

and the operation subtraction - can be called difference...

Answer 9

I would say "differences of squares" as my answer because 4^2 = 16 and 9^2 is 81. Is that correct?

Answer 10

that's correct.

Answer 11

Alright thanks for your help

Answer 12

Which polynomial identity will prove that 64 + 27 = 91?
Difference of Squares
Difference of Cubes
Sum of Cubes
Square of a binomial

So would this one be "sum of cubes" ? @campbell_st