Worksheet on Square of the Difference of Two Binomials
Practice the questions
given in the worksheet on square of the difference of two binomials. We know,
square of a binomial means multiplying a binomial with itself.
See the formulas to expand
the square of the difference of two binomials.
1.
Find the square of the following:
(i) (x – 7)
(ii) (3 – 11y)
(iii) (x – 1/x)
(iv) (√5x – 1/√5x)
2.
Use the formula for squaring the binomials and evaluate:
(i) (999)
^{2}
(ii) (98)
^{2}
3. (i) If x - y = 19 and xy = 20, find the value of x
^{2} + y
^{2}
(ii) If x
^{2} + y
^{2} = 101 and xy = 10, find the value of x – y
4. If x – 1/x = 7, find x
^{2} + 1/x
^{2}
5. If x
^{2} + 1/x
^{2} = 7, find x - 1/x
6. If x
^{2} + 1/x
^{2} = 11, find x - 1/x
7. What must be added to 16m
^{2} – 24mn + 6n
^{2} to make it a perfect square?
8. What must be subtracted to 25a
^{2} + 9b
^{2} – 20ab to make it a perfect square?
9. Express each the following expression as perfect square.
(i) a
^{2} + 9b
^{2} – 6ab
(ii) 1 + 49y
^{2} – 14y
Answers for the worksheet
on square of the difference of two binomials are given below to check the exact
answers of the above questions on squaring the binomials.
Answers:
1. (i) x
^{2} – 14x + 49
(ii) 9 – 66y + 121 y
^{2}
(iii) x
^{2} – 2 + 1/x
^{2}
(iv) 5x
^{2} – 2 + 1/5 x
^{2}
2. (i) 998001
(ii) 9604
3. (i) 401
(ii) ±9
4. 51
5. ± √5
6. ± 3
7. 3n
^{2}
8. 10ab
9. (i) (a – 3b)
^{2}
(ii) (1 – 7y)
^{2}
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8th Grade Math Practice
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