# 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.

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

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