Which of the following is not a polynomial identity?

Mathematics

1 answer:

olga_2 [115]3 years ago

7 0

Answer:

Option B

Step-by-step explanation:

Option A

a² - b² = (a+ b)(a - b)

It's a polynomial identity.

Option B

a³ + b³ = (a - b)(a² - ab + b²)

It's not a polynomial identity.

Because the identity is,

a³ + b³ = (a + b)(a² - ab + b²)

Option C

a³ - b³ = (a - b)(a² + ab + b²)

It's a polynomial identity.

Option D

(a²+ b²)(c² + d²) = (ac - bd)² + (ad + bc)²

= a²c² - 2abcd + b²d² + a²d² + b²c² + 2abcd

= a²c² + b²c² + b²d² + a²d²

= c²(a² + b²) + d²(a² + b²)

= (a²+ b²)(c² + d²)

Therefore, it's a polynomial identity.

Option B will be the answer.

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