Express as a polynomial. (a-b)(a^{3}+a^{2}b+ab^{2}+b^{3})

aramutselv

aramutselv

Answered question

2021-12-07

Express as a polynomial.
(ab)(a3+a2b+ab2+b3)

Answer & Explanation

Tiefdruckot

Tiefdruckot

Beginner2021-12-08Added 46 answers

Step 1
given:
(ab)(a3+a2b+ab2+b3)
we have to express it as a polynomial.
Step 2
(ab)(a3+a2b+ab2+b3)=(a)(a3)+(a)(a2b)+(a)(b3)(b)(a3)(b)(a3)(b)(a2b)(b)(ab2)(b)(b3)
=a4+a3b+a2b2+ab3a3ba2b2ab3b4
=a4+a3ba3b+a2b2a2b2+ab3ab3b4
=a4b4
therefore the given expression in polynomial is a4b4

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