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### High School Mathematics5.3 Revision of Algebraic Expressions - III

 Examples: Expand, (x + 2y)2. Given that, (x + 2y)2, this is in the form of (a + b)2 = a2 + 2ab + b2. Using above formula, (x + 2y)2 = x2 + 4xy + y2 Expand, (2x - 3y)2. Given that, (2x - 3y)2, this is in the form of (a - b)2 = a2 - 2ab + b2. Using above formula, (2x - 3y)2 = 4x2 - 12xy + 9y2 Expand,(3x - 4y) * (3x + 4y). Given that, (3x - 4y) * (3x + 4y), this is in the form of (a + b)(a - b) = a2 - b2. Using above formula, (3x - 4y) * (3x + 4y) = (3x)2 - (4y)2 = 9x2 - 16y2 Directions: Solve the following problems. Also write at least 10 examples of your own.
 Q 1: Expand, (2x + 3y)2 - (2x - 3y)2.24xy16xy12xy Q 2: Expand, (3x + 4y)2 - (3x - 4y)2.40xy48xy34xy Q 3: Expand, (3x + y)2.9x2 - 6xy + y29x2 + 12xy + y29x2 + 6xy + y2 Q 4: Expand, (3x - 2y) (3x + 2y).9x2 - 4y23x2 - 4y29x2 - 2y2 Q 5: Expand, (4x + 3y)2 + (4x - 3y)2.32x2 + 9y232x2 + 18y216x2 + 18y2 Q 6: Expand, (5x - 2y)2.25x2 - 20xy + 4y225x2 - 24xy + 4y225x2 + 20xy + 4y2 Question 7: This question is available to subscribers only! Question 8: This question is available to subscribers only!