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 x29. 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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