Part A: Use polynomial identities to multiply.

A. $ 25 - 4x^{9} $
B. $ 25 - 40x^{3} + 16x^{6} $
C. $ 25 - 4x^{6} $
D. $ 25 - 16x^{6} $

Part B: What identity did you use?

1. $ (5 - 4x^{3})(5 + 4x^{3}) $
2. $ 5^{2} - (4x^{3})^{3} $
3. $ 25 - (4x^{3})^{2} $
4. $ 25 - $

To multiply the given polynomial identities, use the binomial theorem, which allows us to find the expanded form of a binomial raised to a power. Part A details the multiplication of the given expressions, while Part B explains the identity used.

Explanation:

To multiply the given polynomial identities:

A. (25-4x9) × (25-4x9) = 625 - 200x9 + 16x18

B. (25-40x3+16x6) × (25-40x3+16x6) = 625 - 2000x3 + 800x6 - 1600x9 + 256x12 - 256x18

C. (25-4x6) × (25-4x6) = 625 - 200x6 + 16x12

D. (25-16x6) × (25-16x6) = 625 - 800x6 + 256x12

Part B: To solve this polynomial multiplication, we applied the binomial theorem.

Learn more about Polynomial identities here:

https://brainly.com/question/34794215

#SPJ11

Part A: Use polynomial identities to multiply.A. \( 25 - 4x^{9} \) B. \( 25 - 40x^{3} + 16x^{6} \) C. \( 25 - 4x^{6} \) D. \( 25 - 16x^{6} \) Part B: What identity did you use?1. \( (5 - 4x^{3})(5 + 4x^{3}) \) 2. \( 5^{2} - (4x^{3})^{3} \) 3. \( 25 - (4x^{3})^{2} \) 4. \( 25 - \)

Answer :

Final answer:

Explanation:

Other Questions

Part A: Use polynomial identities to multiply.

A. \( 25 - 4x^{9} \)
B. \( 25 - 40x^{3} + 16x^{6} \)
C. \( 25 - 4x^{6} \)
D. \( 25 - 16x^{6} \)

Part B: What identity did you use?

1. \( (5 - 4x^{3})(5 + 4x^{3}) \)
2. \( 5^{2} - (4x^{3})^{3} \)
3. \( 25 - (4x^{3})^{2} \)
4. \( 25 - \)