Question

Divide : 24a3b3 + 16a²b - 12ab2 by 4ab​

Answer 1

Answer:

STEP1:Equation at the end of step 1

STEP 2 :

Equation at the end of step2:

STEP 3 :

Equation at the end of step3:

STEP 4 :

Equation at the end of step4:

STEP5:

16a3b4 + 24a3b2 - 12ab2 Simplify ——————————————————————— 22a2b

STEP6:Pulling out like terms

 6.1     Pull out like factors :

   16a3b4 + 24a3b2 - 12ab2  =   4ab2 • (4a2b2 + 6a2 - 3) 

Trying to factor a multi variable polynomial :

 6.2    Factoring    4a2b2 + 6a2 - 3 

Try to factor this multi-variable trinomial using trial and error 

 Factorization fails

Dividing exponential expressions :

 6.3    a1 divided by a2 = a(1 - 2) = a(-1) = 1/a1 = 1/a

Dividing exponential expressions :

 6.4    b2 divided by b1 = b(2 - 1) = b1 = b

Canceling Out:

 6.5      Canceling out  22 as it appears on both sides of the fraction line

Final result :

b • (4a2b2 + 6a2 - 3) —————————————————————

a

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