Algebraic Identities
Math ⇒ Algebra
Algebraic Identities starts at 7 and continues till grade 12.
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See sample questions for grade 11
Explain the difference between (a + b)2 and (a - b)2.
State the algebraic identity for the difference of squares.
State the identity for the cube of a binomial (a + b)3.
State the identity for the sum of cubes.
Which identity is used to factorize x2 - 16?
Given that a + b + c = 0, show that a3 + b3 + c3 = 3abc.
If a + b = 0, what is the value of (a3 + b3)/(a + b)?
If p + q = 7 and pq = 10, find the value of p3 + q3.
Which of the following is the correct expansion of (a - b)(a + b)?
(1) a2 + b2
(2) a2 - b2
(3) a2 + 2ab + b2
(4) a2 - 2ab + 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)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)3 = a3 - 3a2b + 3ab2 - ________
Fill in the blank: (a + b + c)2 = a2 + b2 + c2 + ________
Fill in the blank: (a + b)(a - b) = ________
Fill in the blank: (a + b)2 - (a - b)2 = ________
True or False: (a - b)2 = a2 - 2ab + b2.
True or False: (a + b + c)2 = a2 + b2 + c2 + 2ab + 2bc + 2ca.
True or False: (a + b)(a2 - ab + b2) = a3 + b3.
True or False: (a + b)2 = a2 + b2 + 2ab.
