Algebraic Identities
Math ⇒ Algebra
Algebraic Identities starts at 7 and continues till grade 12.
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See sample questions for grade 10
Expand (2a - 3b)2.
Expand (2x + 3y)2.
Expand (3x - 2y)2.
Expand (a + 2b)2.
If a = 2 and b = 3, find the value of (a + b)2.
If a = 4 and b = 1, find the value of (a - b)2.
If a = 5 and b = 2, find the value of (a + b)(a - b).
If x = 1 and y = -2, find the value of (x + y)2.
Which identity is used to expand (a + b)3?
(1) a3 + 3a2b + 3ab2 + b3
(2) a3 - 3a2b + 3ab2 - b3
(3) a3 + b3
(4) a2 + 2ab + b2
Which of the following is NOT an algebraic identity?
(1) (a + b)2 = a2 + 2ab + b2
(2) (a - b)2 = a2 - 2ab + b2
(3) (a + b)2 = a2 + b2
(4) (a + b)(a - b) = a2 - b2
Which of the following is the correct expansion of (a - b)3?
(1) a3 - 3a2b + 3ab2 - b3
(2) a3 + 3a2b + 3ab2 + b3
(3) a3 - b3
(4) a3 + b3
Which of the following is the correct expansion of (a + b)2?
(1) a2 + 2ab + b2
(2) a2 - 2ab + b2
(3) a2 + b2
(4) a2 - b2
Fill in the blank: (a - b)2 = a2 - __________ + b2
Fill in the blank: (a + b + c)2 = a2 + b2 + c2 + __________
Fill in the blank: (a + b + c)2 = a2 + b2 + c2 + 2ab + 2bc + __________
Fill in the blank: (a + b)(a - b) = __________
True or False: (a - b)3 = a3 - 3a2b + 3ab2 - b3.
True or False: (a + b)(a2 - ab + b2) = a3 + b3.
True or False: (a + b)3 = a3 + 3a2b + 3ab2 + b3.
True or False: (x + y + z)2 = x2 + y2 + z2 + 2xy + 2yz + 2zx.
