Question

Find the product : (i) (a-b) (a+b) (a^2 + b^2)
(ii) (x + 2) (x - 2) (x^2 +4)​

Answer 1

Answer:

i) (a⁴-b⁴)

ii)(x⁴-16)

Step-by-step explanation:

i) (a-b) (a+b) (a² + b²)

= (a² - b²) ( a² + b²)

= a⁴+a²b²-a²b²-b⁴

= a⁴-b⁴

ii) (x+2)(x-2)(x²+4)

= (x²-2²)(x²+4)

= x⁴-4x²+4x²-16

= x⁴-16 or x⁴-2⁴

Answer 2

Answer:

i) (a⁴-b⁴)

ii)(x⁴-16)

Step-by-step explanation:

i) (a-b) (a+b) (a² + b²)

= (a² - b²) ( a² + b²)

= a⁴+a²b²-a²b²-b⁴

= a⁴-b⁴

ii) (x+2)(x-2)(x²+4)

= (x²-2²)(x²+4)

= x⁴-4x²+4x²-16

= x⁴-16 or x⁴-2⁴