Explained: "Express as a polynomial. (4r2−3s)2" - Plainmath

Secondary
Algebra
Algebra II
Polynomial factorization

Phoebe

Answered question

2021-03-24

Express as a polynomial.

{(4 r^{2} - 3 s)}^{2}

Answer & Explanation

dieseisB

Skilled2021-03-26Added 85 answers

Step 1
the given expression:

{(4 r^{2} - 3 s)}^{2}

we have to express as a polynomial:
Step 2

{(4 r^{2} - 3 s)}^{2} = {(4 r^{2})}^{2} + {(3 s)}^{2} - 2 (4 r^{2}) (3 s)

(using

{(a - b)}^{2} = a^{2} + b^{2} - 2 a b

)

{(4 r^{2} - 3 s)}^{2} = 16 r^{4} + 9 s^{2} - 24 r^{2} s

\Rightarrow {(4 r^{2} - 3 s)}^{2} = 16 r^{4} + 9 s^{2} - 24 r^{2} s

This is the required answer.

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