Factor the expression completely. a^{4} b^{2}+ab^{5}

Anonym 2021-08-11 Answered
Factor the expression completely.
a4b2+ab5
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Expert Answer

Neelam Wainwright
Answered 2021-08-12 Author has 102 answers

Step 1
We can factor the expression by taking the greatest common factors out from the expression . The common factors are the variable expression or constant number which are presented in both the terms of the expression .
We can also use the algebraic formulas to write the factor form of the expression . We can use the formulas ,
a2b2=a+bab
a3+b3=a+ba2ab+b2
Step 2
Consider the expression a4b2+ab5.
Both the terms in the expressions are the multiples of a,b
The term a4b2=a.a.a.a.b.b
The term ab5=a.b.b.b.b.b { a.b.b is common in both the terms }
We have the common factor ab2, take the common factor out and simplify the expression a4b2+ab5, we get
a4b2+ab5=ab2a3+b3=ab2a+ba2ab+b2
Hence the factor form of the expression is a4b2+ab5=ab2a+ba2ab+b2.

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