Worksheet on Cube of the Difference of Two Binomials

Practice the questions given in the worksheet on cube of the difference of two binomials. We know, cube of a binomial means multiplying a binomial with itself three times.

See the formulas to expand the cube of the difference of two binomials.

1. Expand each of the following:

(i) (3x – 5y)3

(ii) (4x – y2)3

(iii) (4/5 p – 5/6 q)3


2. Evaluate by using suitable identity:

(i) (105)3



(ii) (1002)3

(iii) (303)3

(iv) (99)3

(v) (995)3

(vi) (999)3

(vii) (9.7)3

(viii) (10.1)3

(ix) (9.04)3


3. (i) If x + 1/x = 15, find the value of x3 - 1/x3

(ii) If x + 1/x = 10, find the value of x3 - 1/x3


4. (i) Find the value of x3 – 216y3, if x – 6y = 13 and xy = 4.

(ii) Find the value of 27x3 – y3, if 3x – y = 19 and xy = 7.


Answers for the worksheet on cube of the difference of two binomials are given below to check the exact answers of the above expansion.


Answers:



1. (i) 27x3 – 135x2y + 225xy2 - 125y3

(ii) 64x3 – 48x2y2 + 12xy4 – y6

(iii) 64/125 p3 – 8/5 p2q + 5/3 pq2 – 125/216 q3


2. (i) 1157625

(ii) 1006012008

(iii) 27818127

(iv) 970299        

(v) 985074875       

(vi) 99700299                     

(vii) 912.673

(viii) 1030.301

(ix) 738.763264


3. (i) 3420             (ii) 1030

4. (i) 3133             (ii) 8056               




Math Home Work Sheets

7th Grade Math Problems

8th Grade Math Practice

From Worksheet on Cube 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.



Share this page: What’s this?

Recent Articles

RSS

  1. Symmetrical Shapes | One, Two, Three, Four & Many-line Symmetry

    Apr 23, 24 04:50 PM

    Symmetrical Figures
    Symmetrical shapes are discussed here in this topic. Any object or shape which can be cut in two equal halves in such a way that both the parts are exactly the same is called symmetrical. The line whi…

    Read More

  2. Relation between Diameter Radius and Circumference |Problems |Examples

    Apr 23, 24 03:15 PM

    Relation between Radius and Diameter of a Circle
    Relation between diameter radius and circumference are discussed here. Relation between Diameter and Radius: What is the relation between diameter and radius? Solution: Diameter of a circle is twice

    Read More

  3. Circle Math | Terms Related to the Circle | Symbol of Circle O | Math

    Apr 22, 24 01:35 PM

    Circle using a Compass
    In circle math the terms related to the circle are discussed here. A circle is such a closed curve whose every point is equidistant from a fixed point called its centre. The symbol of circle is O. We…

    Read More

  4. Preschool Math Activities | Colorful Preschool Worksheets | Lesson

    Apr 21, 24 10:57 AM

    Preschool Math Activities
    Preschool math activities are designed to help the preschoolers to recognize the numbers and the beginning of counting. We believe that young children learn through play and from engaging

    Read More

  5. Months of the Year | List of 12 Months of the Year |Jan, Feb, Mar, Apr

    Apr 20, 24 05:39 PM

    Months of the Year
    There are 12 months in a year. The months are January, February, march, April, May, June, July, August, September, October, November and December. The year begins with the January month. December is t…

    Read More