PRACTICE QUESTIONS FOR a CUBE PLUS b CUBE

a³+b³= (a+b) (a²-ab+b²)

Problem 1 :

Expand x³ + y³ 

(A) (x + y) (x² - xy + y²)

(B) (x + y) (x² + xy + y²)

(C) (x - y) (x² - xy + y²)

Problem 2 :

Expand (2x)³ + (3y)³

(A)  (2x+3y) (4x²+ 6xy - 9y²)

(B)  (3x+2y) (9x² - 6xy + 9y²)

(C)  (2x+3y) (4x² - 6xy + 9y²)

Problem 3 :

Expand (3x)³ + y³

(A)  (3x + y) (9x² - 3xy + y²)

(B)  (3x - y) (9x² + 3 xy - y²)

(C)  (3x + y) (9x² + 3 xy + y²)

Problem 4 :

Expand (4x)³ + z³

 (A) (4x - z) (16x² + 4xz + z²)

 (B) (4x + z) (16x² + 4xz - z²)

 (C) (4x + z) (16 x² - 4xz + z²)

Problem 5 :

Expand (3p)³ + (2s)³

 (A) (3p - 2s) (9p² + 6 p s + 4s² )

 (B) (3p + 2s) (9p² - 6 ps - 4s²)

 (C) (3p + 2s) (9p² - 6 ps + 4s²)

Solutions for Practice Questions

Problem 1 :

Expand x³ + y³ 

Solution :

Here a  =  x and b  =  y

(x³ + y³) = (x + y) (x² - x y + y²)

Problem 2 :

Expand (2x)³ + (3y)³

Solution :

Here a = 2x and b = 3y

(2x)³ + (3y)³  =  (2x+3y) [(2x)² - (2x)(3y) + (3y)²]

  =  (2x+3y) (4x²-6xy+9y²)

Problem 3 :

Expand (3x)³ + y³

Solution :

Here a  =  3x and b  =  y

(3x)³ + y³ = (3x+y) [(3x)² - (3x)y + y²]

  =  (3x+y) (3²x²-3xy+y²)

  =  (3x+y) (9x²-3xy+y²) 

Problem 4 :

Expand (4x)³ + z³

Solution :

Here a  =  4x and b  =  z

(4x)³ + z³  =  (4x+z) [(4x)² - (4x)(z) + z²]

  =  (4x+z) (4²x² - 4xz + z²)

  =  (4x+z) (16x² - 4xz + z²)

Problem 5 :

Expand (3p)³ + (2s)³

Solution :

Here a  =  3p and b  =  2s

(3p)³ + (2s)³  =  (3p+2s) [(3p)² - (3p)(2s) + (2s)²]

  =  (3p+2s) (9p² - 6ps + 4s²)

Related Pages

• Practice for (a+b)²
  
• Practice for (a-b)²
  
• Practice for (a+b)³
• Practice for (a-b)³
• Practice for (a³+ b³)
• Practice for (a³- b³)
• Practice for (a²- b²)
• Practice for (a + b + c)²
• Practice for (x + a)(x + b)
• Algebra Formulas
• Practical problems in algebra
• Algebra worksheets 
• 10th grade algebra worksheets
• More topics on algebra
• Algebraic identities 
• More calculators 
• Algebra practice test
  

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