# Simplifying Exponents of Polynomials Worksheet

Simplify the exponents in each exponent.

Click “Show Answer” underneath the problem to see the answer. Or click the “Show Answers” button at the bottom of the page to see all the answers at once.

## Example:

Equation: (x + y)^2
Answer: x^2 + 2xy + y^2

## Quiz:

1. Equation: (x + 3)2
Answer: x^2 + 6x + 9

2. Equation: (x + 7)2
Answer: x^2 + 14x + 49

3. Equation: (j + 9)2
Answer: j^2 + 18j + 81

4. Equation: (p + 6)2
Answer: p^2 + 12p + 36

5. Equation: (f + 5)2
Answer: f^2 + 10f + 25

6. Equation: (2f + 5)2
Answer: 4f^2 + 20f + 25

7. Equation: (3s + 3)2
Answer: 9s^2 + 18s + 9

8. Equation: (5z + 1)2
Answer: 25z^2 + 10z + 1

9. Equation: (10y + 1)2
Answer: 100y^2 + 20y + 1

10. Equation: (1 + 10y)2
Answer: 1 + 20y + 100y^2

11. Equation: (x + y)2
Answer: x^2 + 2xy + y^2

12. Equation: (3a + 3b)2
Answer: 9a^2 + 18ab + 9b^2

13. Equation: (4 + x)2
Answer: 16 + 8x + x^2

14. Equation: (4a + 2k)2
Answer: 16a^2 + 16ak + 4k^2

15. Equation: (x + y)3
Answer: x^3 + 3x^2y + 3xy^2 + y^3

16. Equation: (n + 1)2
Answer: n^2 + 2n + 1

17. Equation: (2n - 1)2
Answer: 4n^2 - 4n + 1

18. Equation: (1 + x)3
Answer: x^3 + 3x^2 + 3x + 1

19. Equation: (10y - 1)2
Answer: 1 - 20y + 100y^2

20. Equation: (3k + 7)2
Answer: 9k^2 + 42k + 49

## Related Pages

Simplifying Exponents of Polynomials Lesson

Brush up on your knowledge of the techniques needed to solve problems on this page.

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