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#### Online Quiz (WorksheetABCD)

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### Grade 7 - Mathematics4.50 Special Products Expansions - Formulas

 Formulas: (a+b)2 = (a+b)(a+b) =a2+2ab+b2 (a-b)2 = (a-b)(a-b) =a2-2ab+b2 (a+b)3 = (a+b)(a+b)(a+b) = (a+b)(a2+2ab+b2) =a3+3ab2+3a2b+b3 (a-b)3 = (a-b)(a-b)(a-b) = (a-b)(a2-2ab+b2) =a3+3ab2-3a2b+b3 Sum of squares: a2+b2 =(a+b)2- 2ab a2+b2 =(a-b)2+ 2ab Difference of squares: a2-b2 = (a+b)(a-b) Sum of cubes: a3 + b3 = (a2 - ab + b2)(a + b) Difference of cubes: a3 - b3 = (a2 + ab + b2)(a - b) Directions: Solve the following problems. Also write at least two examples for each formula above.
 Q 1: Find the value of (3x+y)2.9x2+6xy-y29x2-6xy+y29x2+6xy+y2 Q 2: Find the value of (6x-y)2.36x2-12xy+y236x2+12xy+y236x2-6xy+y2 Q 3: Find the value of (x+2)2.x2+6x+4x2+4x+4x2-4x+4 Q 4: Find the value of (99)2.980198619701 Q 5: Find the value of (78)2.618460846064 Q 6: Find the value of (151)2.226012208122801 Q 7: Find the value of (101)2.102011120110261 Q 8: Find the value of (5x-6y)2.25x2-60xy+16y225x2-40xy+36y225x2-60xy+36y2 Question 9: This question is available to subscribers only! Question 10: This question is available to subscribers only!