Question

simplify ³√a⁴b + ³√ab⁴​

Answer 1

2.2 Factoring: a3 + b3

Theory : A sum of two perfect cubes, a3 + b3 can be factored into :

(a+b) • (a2-ab+b2)

Proof : (a+b) • (a2-ab+b2) =

a3-a2b+ab2+ba2-b2a+b3 =

a3+(a2b-ba2)+(ab2-b2a)+b3=

a3+0+0+b3=

a3+b3

Check : a3 is the cube of a1

Check : b3 is the cube of b1

Factorization is :

(a + b) • (a2 - ab + b2)

Answer 2

Answer:

a√ab + b√ab it is the answer