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 x
^{2} + y
^{2}
(ii) If x
^{2} + y
^{2} = 29 and xy = 10, find the value of x + y
5. If x + 1/x = 5, find x
^{2} + 1/x
^{2}
6. If x
^{2} + 1/x
^{2} = 14, find x + 1/x
7. If x + 1/x = 3, find the value of x
^{4} + 1/x
^{4}
8. What must be added to 49y
^{2} + 70xy to make it a perfect square?
9. What must be subtracted to 4x
^{2} + 9y
^{2} 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) x
^{2} + 10x + 25
(ii) 9p
^{2} + 24p + 16
(iii) 5x
^{2} + 2√5x + 1
(iv) 25x
^{2} + 70xy +49y
^{2}
(v) x
^{2}/9 + 2/15xy + y
^{2}/25
2. (i) t
^{2}/81 + 8/9 + 16/t
^{2}
(ii) 0.09x
^{2} + 0.24xy + 0.16y
^{2}
(iii) c
^{2} + 12c + 36
3. (i) 10609
(ii) 116.64
(iii) 84.64
4. (i) 70
(ii) ± 7
5. 23
6. ± 4
7. ± 7
8. 25 x
^{2}
9. 12xy
10. Express each the following expression as perfect square.
(i) 4 x
^{2} + 25y
^{2} +20xy
(ii) x
^{2} + 1/9 + 2x/3
`
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