Factor the polynomial. 81r^{2}-16t^{2}.

John Stewart

John Stewart

Answered question

2021-12-18

Factor the polynomial. 81r216t2.

Answer & Explanation

Ronnie Schechter

Ronnie Schechter

Beginner2021-12-19Added 27 answers

Step 1
we have to factor the given polynomial.
81r216t2.
Step 2
81r216t2.
(9r)2(4t)2 now we will use the identity (a2b2)=(ab)(a+b)
(9r+4t)(9r-4t)
therefore
81r216t2=(9r+4t)(9r4t)
Mary Nicholson

Mary Nicholson

Beginner2021-12-20Added 38 answers

Given,
81r216t2
On simplification, we get

81r216t2=99rr44tt
=92r242t2
=(9r)2(4t)2
=(9r4t)(9r+4t)   [a2b2=(ab)(a+b)]

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