# Worksheet on Square of the Sum of Two Binomials

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

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

1. Expand the following:

(i) (x + 5)2

(ii) (3p + 4)2

(iii) (√5x + 1)2

(iv) (5x + 7y)2

(v) (x/3 + y/5)2

2. Find the square of the following:

(i) (t/9 + 4/t)

(ii) 0.3 x + 0.4 y

(iii) c + 6

3. Use the formula for squaring the binomials and evaluate

(i) (103)2

(ii) (10.8)2

(iii) (9.2)2

4. (i) If x + y = 10 and xy = 15, find the value of x2 + y2

(ii) If x2 + y2 = 29 and xy = 10, find the value of x + y

5. If x + 1/x = 5, find x2 + 1/x2

6. If x2 + 1/x2 = 14, find x + 1/x

7. If x + 1/x = 3, find the value of x4 + 1/x4

8. What must be added to 49y2 + 70xy to make it a perfect square?

9. What must be subtracted to 4x2 + 9y2 to make it a perfect square?

10. (i) (2x + 5y)2

(ii) (x + 1/3)2

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

1. (i) x2 + 10x + 25

(ii) 9p2 + 24p + 16

(iii) 5x2 + 2√5x + 1

(iv) 25x2 + 70xy +49y2

(v) x2/9 + 2/15xy + y2/25

2. (i) t2/81 + 8/9 + 16/t2

(ii) 0.09x2 + 0.24xy + 0.16y2

(iii) c2 + 12c + 36

3. (i) 10609

(ii) 116.64

(iii) 84.64

4. (i) 70

(ii) ± 7

5. 23

6. ± 4

7. ± 7

8. 25 x2

9. 12xy

10. Express each the following expression as perfect square.

(i) 4 x2 + 25y 2 +20xy

(ii) x2 + 1/9 + 2x/3

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