Question

Which polynomial identity will prove that 16 = 25 − 9?
Difference of Squares
Difference of Cubes
Sum of Cubes
Square of a Binomial

Answer 1

Difference of Squares

Answer 2

Answer:  Difference of Squares

Step-by-step explanation:

Since, According to the polynomial identity of the Difference of Squares,

If a and b are two numbers or polynomials then we can write,

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

Here our expression,

16 = 25 − 9

Since, we can write,

$25 - 9 = 5^2 - 3^2$

⇒ $25 - 9 = (5+3)\times (5-3)$  ( By applying polynomial identity of  Difference of Squares )

⇒ $25 - 9 = 8\times 2$

⇒ $25 - 9 = 16$

Hence proved.