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.

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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