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### High School Mathematics5.4 Revision of Algebraic Expressions - IV

 Examples: 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 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 + 6x2y + 12xy2 + y38x3 + 6x2y + 6xy2 + y38x3 + 12x2y + 6xy2 + y3 Q 2: Simplify, (x + 2y)3 + (x - 2y)3.2x3 + 24xy26x3 + 24xy22x3 + 12xy2 Q 3: Expand, (2x - 3y)3.8x3 - 36x2y + 54xy2 - 9y38x3 - 36x2y + 34xy2 - 27y38x3 - 36x2y + 54xy2 - 27y3 Q 4: Expand, (2x + 3y)3.8x3 + 36x2y + 54xy2 + 9y38x3 + 36x2y + 36xy2 + 27y38x3 + 36x2y + 54xy2 + 27y3 Q 5: Expand, (x - 2y)3.x3 - 6x2y + 12xy2 - 8y3x3 - 6x2y + 12xy2 - 8y3x3 - 6x2y + 24xy2 - 4y3 Q 6: Simplify, (x + y)3 + (x - y)3.2x3 + 6xy22x3 + 6xy22x2 + 6xy3 Question 7: This question is available to subscribers only! Question 8: This question is available to subscribers only!