Question

Simplify:- a 2 b(a-b 2 ) + ab2 ( 4ab – 2a2 ) – a 3 b(1-2b)​

Answer 1

Answer:

hii

Step-by-step explanation:

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Answer 2

Answer:

If the simplified form of a2b(a−b2)+ab2(4ab−2a2)−a3b(1−2b)=pa2b3, then value of p is

Changes made to your input should not affect the solution:

 (1): "a3"   was replaced by   "a^3".  4 more similar replacement(s).

STEP1:Equation at the end of step 1 ((((a2)•b)•(a-(b2)))+((a•(b2))•(4ab-(2•(a2)))))-a3b•(1-2b) STEP 2 :Equation at the end of step2: ((((a2)•b)•(a-(b2)))+((a•(b2))•(4ab-2a2)))-a3b•(1-2b) STEP3:STEP4:Pulling out like terms

 4.1     Pull out like factors :

   4ab - 2a2  =   -2a • (a - 2b) 

Multiplying exponential expressions :

 4.2    a1 multiplied by a1 = a(1 + 1) = a2

Equation at the end of step4: ((((a2)•b)•(a-(b2)))+ -2a2b2•(a-2b))-a3b•(1-2b) STEP5:Trying to factor as a Difference of Squares:

 5.1      Factoring:  a-b2 

Theory : A difference of two perfect squares,  A2 - B2  can be factored into  (A+B) • (A-B)

Proof :  (A+B) • (A-B) =

         A2 - AB + BA - B2 =

         A2 - AB + AB - B2 =

         A2 - B2

Note :  AB = BA is the commutative property of multiplication.

Note :  - AB + AB equals zero and is therefore eliminated from the expression.