Question

factorize the following 6a⁶+48b⁶​

Answer 1

Answer:

6(a²+2b²)(a⁴-2a²b²+4b⁴).

Step-by-step explanation:

It is divisible by 6.

a⁶ + 8b⁶

From the structure, we can tell:

(a²)³ + (2b²)³

By applying identity we get:

(a²+2b²)(a⁴-2a²b²+4b⁴)

Multiply 6 again, the answer is 6(a²+2b²)(a⁴-2a²b²+4b⁴).

Answer 2

Answer:

$6( {a}^{2} + 2 {b}^{2} )( {a}^{4} + 4 {b}^{4 } - 2 {a}^{2} {b}^{2} )$

Step-by-step explanation:

• $6( {a}^{6} + 8 {b}^{6} )$
• $= > (6){( {a}^{2} ) }^{3} + (2 {b}^{2}) {}^{3}$
• Using the identity, of a cube + b cube :- we get the above answer