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

Math Home Work Sheets

7th Grade Math Problems

8th Grade Math Practice

From Worksheet on Square of the Sum of Two Binomials to HOME PAGE