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Online Quiz (Worksheet A B C D)

Questions Per Quiz = 2 4 6 8 10

Grade 7 - Mathematics
4.49 Special Products and 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 two examples for each formula above.
Q 1: Multiply (3x-2y) with (3x+y).
9x2+3xy+2y2
9x2-3xy-2y2
9x2-3xy+2y2
9x2-3xy+3y2

Q 2: Multiply (7x+7y) with (6x+3).
42x2+15x+42xy+21y
42x2+21x+46xy+21y
42x2+21x+42xy+21y

Q 3: Multiply (3x+2) with (3x-5).
9x2-9x+10
9x2-9x-10
9x2+9x-10

Q 4: Multiply (6x2+7x-1) with x2.
6x4+7x3-x2
6x4-7x3-x2
6x4+7x3+x2

Q 5: Multiply (4x+3) with (2x-3).
8x2-6x-9
8x2+6x-9
8x2-6x+9

Q 6: Multiply (6x+7) with (2y+3).
12xy+18x+14y+20
12xy+18x+14y+21
12xy+18y+14x+21

Q 7: If x=2, then find the value of 8x2+6x+7.
49
51
47

Q 8: Multiply (7x2-6x+7) with 6x.
42x3-36x2+42x
42x3+36x2+42x
42x3-36x2-42x

Question 9: This question is available to subscribers only!

Question 10: This question is available to subscribers only!


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