Worksheet on Square of the Difference of Two Binomials

Practice the questions given in the worksheet on square of the difference of two binomials. We know, square of a binomial means multiplying a binomial with itself.

See the formulas to expand the square of the difference of two binomials.

1. Find the square of the following:

(i) (x – 7)                             

(ii) (3 – 11y)                                                       

(iii) (x – 1/x)

(iv) (√5x – 1/√5x)            

2. Use the formula for squaring the binomials and evaluate:

(i) (999)²

(ii) (98)²



3. (i) If x - y = 19 and xy = 20, find the value of x² + y² (ii) If x² + y² = 101 and xy = 10, find the value of x – y


4. If x – 1/x = 7, find x² + 1/x²

5. If x² + 1/x² = 7, find x - 1/x

6. If x² + 1/x² = 11, find x - 1/x

7. What must be added to 16m² – 24mn + 6n² to make it a perfect square?

8. What must be subtracted to 25a² + 9b² – 20ab to make it a perfect square?

9. Express each the following expression as perfect square.

(i) a² + 9b² – 6ab

(ii) 1 + 49y² – 14y

Answers for the worksheet on square of the difference of two binomials are given below to check the exact answers of the above questions on squaring the binomials.

Answers:

1. (i) x² – 14x + 49

(ii) 9 – 66y + 121 y²

(iii) x² – 2 + 1/x²

(iv) 5x² – 2 + 1/5 x²


2. (i) 998001

(ii) 9604


3. (i) 401

(ii) ±9


4. 51

5. ± √5

6. ± 3

7. 3n²

8. 10ab

9. (i) (a – 3b)²

(ii) (1 – 7y)²

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