Algebraic Identities
Math ⇒ Algebra
Algebraic Identities starts at 7 and continues till grade 12.
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See sample questions for grade 8
Expand (2x - 5)2.
Expand (3x + 2y)2.
Expand (5x - 2y)2.
Expand (x - 3y)2.
Expand (x - 7)2.
Expand (x + 2y)(x - 2y).
Expand (x + 3)2.
Expand (x + 4)(x - 4).
Which identity is used to factorize x2 - 2xy + y2?
(1) (x + y)2
(2) (x - y)2
(3) (x + y)(x - y)
(4) (x - y)3
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)(a - b) = a2 - b2
(4) (a + b)2 = a2 + b2
Which of the following is the correct expansion of (2a - 3b)2?
(1) 4a2 - 12ab + 9b2
(2) 4a2 + 12ab + 9b2
(3) 2a2 - 3b2
(4) 2a2 + 3b2
Which of the following is the correct expansion of (a + b + c)2?
(1) a2 + b2 + c2
(2) a2 + b2 + c2 + 2ab + 2bc + 2ca
(3) a2 + b2 + c2 + ab + bc + ca
(4) a2 + b2 + c2 - 2ab - 2bc - 2ca
Fill in the blank: (a - b)(a2 + ab + b2) = __________
Fill in the blank: (a - b)3 = a3 - 3a2b + __________ - b3
Fill in the blank: (a + b + c)2 = a2 + b2 + c2 + __________
Fill in the blank: (a + b)(a - b) = __________
The identity (a - b)2 = a2 - 2ab + b2 is true for all real numbers a and b.
True or False: (a - b)3 = a3 - 3a2b + 3ab2 - b3
True or False: (a + b)(a - b) = a2 + b2
True or False: (a + b)3 = a3 + 3ab(a + b) + b3
