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Online Quiz (Worksheet A B C D)

Questions Per Quiz = 2 4 6 8 10

High School Mathematics
5.4 Revision of Algebraic Expressions - IV

Examples:
  1. Expand, (3x+ 2y)3.
    Given that, (3x+ 2y)3, this is in the form of (a + b)3 = a3 + 3a2b + 3ab2 + b3.
    Here, a = 3x and b = 2y
    = (3x)3 + 3.(3x)2.2y + 3.3x.(2y)2 + (2y)3
    = 27x3 + 54x2y + 36xy2 + 8y3
  2. Expand, (2x - 3)3.
    Given that, (2x - 3)3. This is in the form of (a - b)3 = a3 - 3a2b + 3ab2 - b3
    here, a = 2x and b = y
    = (2x)3 - 3.(2x)2y + 3.2x.y2 - y3.
    = 8x3 - 12x2y + 6xy2 - y3.

Directions: Solve the following problems. Also write at least 10 examples of your own.
Q 1: Expand, (2x + y)3.
8x3 + 12x2y + 6xy2 + y3
8x3 + 6x2y + 12xy2 + y3
8x3 + 6x2y + 6xy2 + y3

Q 2: Simplify, (x + 2y)3 - (x - 2y)3
16y3 + 12x3y
16y3 + 12x2y
16y3 + 12xy2

Q 3: Expand, (2x - 3y)3.
8x3 - 36x2y + 34xy2 - 27y3
8x3 - 36x2y + 54xy2 - 9y3
8x3 - 36x2y + 54xy2 - 27y3

Q 4: Expand, (x - 2y)3.
x3 - 6x2y + 12xy2 - 8y3
x3 - 6x2y + 24xy2 - 4y3
x3 - 6x2y + 12xy2 - 8y3

Q 5: Simplify, (x + y)3 - (x-y)3.
2y3 + 3x2y
2y3 + 6x2y
y3 + 6x2y

Q 6: Simplify, (x + y)3 + (x - y)3.
2x2 + 6xy3
2x3 + 6xy2
2x3 + 6xy2

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Question 8: This question is available to subscribers only!


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