Algebraic Identities
Math ⇒ Algebra
Algebraic Identities starts at 7 and continues till grade 12.
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See sample questions for grade 12
Expand (2a + 3b)2 using the appropriate identity.
Expand (2x - 3y)2 using the appropriate algebraic identity.
Expand (x + 2y - 3z)2 using the appropriate identity.
If (a + b)2 = 36 and (a - b)2 = 16, what is the value of ab?
If (a + b)2 = 49 and (a - b)2 = 9, find the value of ab.
If a = 1 and b = -2, calculate (a - b)2 using the identity.
If a = 2 and b = -3, calculate the value of (a + b)2 using the identity.
If a2 + b2 = 25 and ab = 12, find the value of (a + b)2.
If x + y = 10 and x - y = 4, use the identity for (x + y)2 - (x - y)2 to find the value of xy.
If x = 5 and y = 2, calculate (x + y)3 using the identity.
Prove that (a + b + c)2 = a2 + b2 + c2 + 2ab + 2bc + 2ca.
Prove that (a + b)3 + (a - b)3 = 2a3 + 6ab2.
State the algebraic identity for the difference of squares.
Which identity is used to expand (a + b)3?
Which identity is used to factorize x2 - 9?
