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Online Quiz (Worksheet A B C D)

Questions Per Quiz = 2 4 6 8 10

Grade 7 - Mathematics
4.50 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 (99)2.
9861
9801
9701

Q 2: Find the value of (6x-y)2.
36x2-6xy+y2
36x2+12xy+y2
36x2-12xy+y2

Q 3: Find the value of (101)2.
11201
10261
10201

Q 4: Find the value of (5x-6y)2.
25x2-60xy+16y2
25x2-40xy+36y2
25x2-60xy+36y2

Q 5: Find the value of (249)2.
62001
62021
62601

Q 6: Find the value of (78)2.
6184
6084
6064

Q 7: Find the value of (3x+y)2.
9x2+6xy-y2
9x2-6xy+y2
9x2+6xy+y2

Q 8: Find the value of (151)2.
22081
22601
22801

Question 9: This question is available to subscribers only!

Question 10: This question is available to subscribers only!


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