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
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
Didn't find what you were looking for? Or want to know more information
about Math Only Math.
Use this Google Search to find what you need.
Share this page:
What’s this?
|
|
New! Comments
Have your say about what you just read! Leave me a comment in the box below. Ask a Question or Answer a Question.