Question

the lcm of (a^3 +b^3 ) and ( a^4 -b^4) is​

Answer 1

Solution:

Find factors:

i) a³+b³ = (a+b)(a²-ab+b²)

ii) a⁴-b⁴ = (a²-b²)(a²+b²)

= (a+b)(a-b)(a²+b²)

LCM = (a+b)(a-b)(a²-ab+b²)(a²+b²)

= (a²-b²)(a²+b²)(a²-ab+b²)

= (a⁴-b⁴)(a²-ab+b²)

••••

Answer 2

correct answer is (a⁴-b⁴) (a²-ab+b²)