Subscribe to our YouTube channel for the latest videos, updates, and tips.


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 x2 + y2 (ii) If x2 + y2 = 101 and xy = 10, find the value of x – y


4. If x – 1/x = 7, find x2 + 1/x2

5. If x2 + 1/x2 = 7, find x - 1/x

6. If x2 + 1/x2 = 11, find x - 1/x

7. What must be added to 16m2 – 24mn + 6n2 to make it a perfect square?

8. What must be subtracted to 25a2 + 9b2 – 20ab to make it a perfect square?

9. Express each the following expression as perfect square.

(i) a2 + 9b2 – 6ab

(ii) 1 + 49y2 – 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) x2 – 14x + 49

(ii) 9 – 66y + 121 y2

(iii) x2 – 2 + 1/x2

(iv) 5x2 – 2 + 1/5 x2


2. (i) 998001

(ii) 9604


3. (i) 401

(ii) ±9


4. 51

5. ± √5

6. ± 3

7. 3n2

8. 10ab

9. (i) (a – 3b)2

(ii) (1 – 7y)2





Math Home Work Sheets

7th Grade Math Problems

8th Grade Math Practice

From Worksheet on Square of the Difference 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.



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.




Share this page: What’s this?

Recent Articles

  1. Worksheet on Average | Word Problem on Average | Questions on Average

    May 19, 25 02:53 PM

    Worksheet on Average
    In worksheet on average we will solve different types of questions on the concept of average, calculating the average of the given quantities and application of average in different problems.

    Read More

  2. 8 Times Table | Multiplication Table of 8 | Read Eight Times Table

    May 18, 25 04:33 PM

    Printable eight times table
    In 8 times table we will memorize the multiplication table. Printable multiplication table is also available for the homeschoolers. 8 × 0 = 0 8 × 1 = 8 8 × 2 = 16 8 × 3 = 24 8 × 4 = 32 8 × 5 = 40

    Read More

  3. How to Find the Average in Math? | What Does Average Mean? |Definition

    May 17, 25 04:04 PM

    Average 2
    Average means a number which is between the largest and the smallest number. Average can be calculated only for similar quantities and not for dissimilar quantities.

    Read More

  4. Problems Based on Average | Word Problems |Calculating Arithmetic Mean

    May 17, 25 03:47 PM

    Here we will learn to solve the three important types of word problems based on average. The questions are mainly based on average or mean, weighted average and average speed.

    Read More

  5. Rounding Decimals | How to Round a Decimal? | Rounding off Decimal

    May 16, 25 11:13 AM

    Round off to Nearest One
    Rounding decimals are frequently used in our daily life mainly for calculating the cost of the items. In mathematics rounding off decimal is a technique used to estimate or to find the approximate

    Read More