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