Squares of binomials and the difference of squares

Answer Key - Grade 9 Math Worksheet

Circle the best answer, or write your answer on the line.

1. 1.

   Pia works out (3x + 2)² with an area model. Type x² as x^2. What is (3x + 2)² in standard form?

   9x^2 + 12x + 4
2. 2.

   Ren works out (2x − 5)² with an area model. Type x² as x^2. What is (2x − 5)² in standard form?

   4x^2 - 20x + 25
3. 3.

   Tala works out (4x + 1)² with an area model. Type x² as x^2. What is (4x + 1)² in standard form?

   16x^2 + 8x + 1
4. 4.

   Ari works out (6x − 1)² with an area model. Type x² as x^2. What is (6x − 1)² in standard form?

   36x^2 - 12x + 1
5. 5.

   Bo multiplies (4x − 3)(4x + 3). Type x² as x^2. What is the product in fewest terms?

   16x^2 - 9
6. 6.

   Jun multiplies (5x + 1)(5x − 1). Type x² as x^2. What is the product in fewest terms?

   25x^2 - 1
7. 7.

   Luz checks a special product. Which expression equals (x − 13)²?

   • x² − 169
   • x² + 169
   • x² − 26x + 169
   • x² − 13x + 169
8. 8.

   Milo checks a special product. Which expression equals (5x + 2)(5x − 2)?

   • 25x² − 20x + 4
   • 5x² − 4
   • 25x² − 4
   • 25x² + 4
9. 9.

   Noah checks a special product. Which expression equals (3x + 5)²?

   • 9x² + 15x + 25
   • 3x² + 30x + 25
   • 9x² + 30x + 25
   • 9x² + 25
10. 10.

    Pia checks a special product. Which expression equals (3x − 4)(3x + 4)?

    • 9x² − 16
    • 9x² + 16
    • 9x² − 24x + 16
    • 3x² − 16