Algebraic Identities
Math ⇒ Algebra
Algebraic Identities starts at 7 and continues till grade 12.
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See sample questions for grade 7
Expand (2x + 5)2.
Expand (3x + 2y)2.
Expand (4x - 3y)2.
Expand (x - 2y)2.
Expand (x - 4)2.
Expand (x + 2y)(x - 2y).
Expand (x + 3)2.
Expand (x + 5y)(x - 5y).
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 - 2ab + b2
(4) (a + b)(a - b) = a2 - b2
Which of the following is the correct expansion of (2a + 3b)2?
(1) 4a2 + 9b2
(2) 4a2 + 12ab + 9b2
(3) 2a2 + 3b2
(4) 2a2 + 6ab + 3b2
Which of the following is the correct expansion of (a - b)(a + b)?
(1) a2 + 2ab + b2
(2) a2 - b2
(3) a2 - 2ab + b2
(4) 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
Fill in the blank: (a - b)(a + b) = __________
Fill in the blank: (a - b)2 = a2 - __________ + b2
Fill in the blank: (a + b + c)2 = a2 + b2 + c2 + __________ + 2ac + 2bc
Fill in the blank: (a + b + c)2 = a2 + b2 + c2 + 2ab + 2ac + __________
Is (a + b)2 = a2 + b2?
The expansion of (a + b)2 is a2 + 2ab + b2.
The expansion of (a + b)2 is the same as the expansion of (a - b)2. True or False?
The identity (a - b)2 = a2 - 2ab + b2 is always true for all real numbers a and b.
