Question

LCM of ( a3+b3)( a4-b4)is ​

Answer 1

Answer:

Answer:(a³+b³)(a-b) (a²+b²)

Step-by-step explanation:

a³+b³=(a+b)(a²-ab+b²)

(a^4-b^4)=(a²-b²)(a²+b2)

=(a-b) (a+b)(a²+b²)

lcm=(a+b)(a-b) (a²-ab+b²)(a²+b²)

=(a^4-b^4)(a²-ab+b²)

=(a²-b² )(a²+b²)(a²-ab+b²)

=(a-b) (a+b)(a²+b²)(a²-ab+b2)

we know,

a³+b³=(a+b)(a²-ab+b²)

So, putting value:we get,

=(a³+b³)(a-b)(a²+b²)

I hope u understand it....