Factor the polynomial.

Question

17 x Superscript 4 Baseline y cubed plus 51 x Superscript 6 Baseline y
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Part 1
17x Superscript 4y cubedplus51x Superscript 6yequals
  
enter your response here ​(Factor completely.)

Answer 1

The polynomial 17x^4y^3 + 51x^6y can be factored as:

17x^4y^3 + 51x^6y = 17x^4y(x^2 + 3x^4)

Answer 2

Multiply.
negative 5 a squared left parenthesis 4 a squared minus 5 a plus 4 right parenthesis
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Part 1
negative 5 a squared left parenthesis 4 a squared minus 5 a plus 4 right parenthesisequals
  
enter your response here ​(Simplify your​ answer.)

Answer 3

To simplify the expression -5a^2(4a^2 - 5a + 4), we can apply the distributive property and multiply -5a^2 to each term inside the parentheses:

-5a^2 * 4a^2 = -20a^4
-5a^2 * -5a = 25a^3
-5a^2 * 4 = -20a^2

Therefore, the simplified expression is:

-20a^4 + 25a^3 - 20a^2

Answer 4

wrong yet again.
17x^4y^3 + 51x^6y = 17x^4y(y^2 + 3x^2)

Answer 5

Apologies for the mistake. You are correct. The correct factorization of 17x^4y^3 + 51x^6y is indeed 17x^4y(y^2 + 3x^2).

Answer 6

Multiply.
negative y left parenthesis 6 x cubed minus 7 x squared y plus xy squared plus 5 y cubed right parenthesis
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Part 1
negative y left parenthesis 6 x cubed minus 7 x squared y plus xy squared plus 5 y cubed right parenthesisequals
  
enter your response here ​(Simplify your​ answer.)

Answer 7

To simplify the expression -y(6x^3 - 7x^2y + xy^2 + 5y^3), we can apply the distributive property and multiply -y to each term inside the parentheses:

-y * 6x^3 = -6x^3y
-y * -7x^2y = 7x^2y^2
-y * xy^2 = -xy^3
-y * 5y^3 = -5y^4

Therefore, the simplified expression is:

-6x^3y + 7x^2y^2 - xy^3 - 5y^4