R.D. Sharma Solutions Class 9th: Ch 4 Algebraic Identities Exercise 4.3

Chapter 4 Algebraic Identities R.D. Sharma Solutions for Class 9th Math Exercise 4.3 

Exercise 4.3

1. Find the cube of each of the following binomials expressions:

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2. Simplify each of the following:

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3. If a + b = 10 and ab = 21, find the value of a³ + b³

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4.  If a − b = 4 and ab = 21, find the value of a³ −b³

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5. If x+1x=5$x+\frac{1}{x}=5$, find the value of x3+1x3

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6. If x−1x=7 find the value of x3−1x3

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10.  If 2x+3y = 13 and xy = 6, find the value of 8x³ + 27y³

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11. If 3x − 2y = 11 and xy = 12, find the value of 27x³ − 8y³

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12. If x4+1x4= 119$x^4+\frac{1}{x^4}= 119$, find the value of x3−1x3

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13.  Evaluate each of the following:

(i) (103)³

(ii) (98)³

(iii) (9.9)³

(iv) (10.4)3

(v) (598)³

(vi) (99)³

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14 . Evaluate each of the following:

(i) 111³ − 89³

(ii) 46³+34³

(iii) 104³ + 96³

(iv) 93³ − 107³

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17. Find the value of 27x³ + 8y³, if

(i) 3x + 2y = 14 and xy = 8

(ii) 3x + 2y = 20 and xy = 149

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(ii) 

18. Find the value of 64x³ − 125z³, if 4x − 5z = 16 and xz = 12.

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19. If x−1x=3+22–√$x-\frac{1}{x}=3+2\sqrt{2}$, find the value of x3−1x3

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