Algebraic Identities
Math ⇒ Algebra
Algebraic Identities starts at 7 and continues till grade 12.
QuestionsToday has an evolving set of questions to continuously challenge students so that their knowledge grows in Algebraic Identities.
How you perform is determined by your score and the time you take.
When you play a quiz, your answers are evaluated in concept instead of actual words and definitions used.
See sample questions for grade 10
Expand (2a - 3b)2.
Expand (2x + 3y)2.
Expand (3x - 2y)2.
Expand (a + 2b)2.
Expand (x - 5)2.
Expand (x + 2y - 3z)2.
Expand (x + y)(x - y).
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.
State the algebraic identity for (a - b)2.
State the identity for (a + b)2 - (a - b)2.
State the identity for a3 + b3.
Factorize x4 - y4 using algebraic identities.
Given that x2 + y2 = 29 and xy = 10, find the value of (x + y)2.
If a + b + c = 0, show that a3 + b3 + c3 = 3abc.
If p = 3 and q = -2, calculate the value of (p - q)3 + (q - p)3.
Prove that (x + y)3 + (x - y)3 = 2x3 + 6xy2.
State the identity used to factorize a4 - b4 and explain its application.
