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.


Answers:


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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