Find the product.

Question

7y cubed​(7y squarednegative 3 yplus 8​)
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Part 1
7y cubed​(7y squarednegative 3 yplus 8​)equals
  
enter your response here
​(Simplify your​ answer.)

Answer 1

The product of 7y³(7y² - 3y + 8) is 49y⁵ - 21y⁴ + 56y³.

Answer 2

Find the GCF of the terms of the polynomial.
6zSuperscript 5minus42zSuperscript 4plus21zcubed
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Part 1
The greatest common factor is
  
enter your response here.

Answer 3

The GCF of 6z⁵ - 42z⁴ + 21z³ is 3z³.

Answer 4

Factor. Check by multiplying.
5 a minus 35
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Part 1
5 a minus 35equals
  
enter your response here

Answer 5

5a - 35 can be factored as 5(a - 7).

To check, we multiply:
5(a - 7) = 5a - 35.

So the factoring is correct.

Answer 6

Factor out the greatest common factor.
21 x squared plus 35 x
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Part 1
21 x squared plus 35 xequals
  
enter your response here

Answer 7

The greatest common factor (GCF) of 21x² + 35x is 7x.

Factoring out the GCF, we get:
21x² + 35x = 7x(3x + 5).