Algebraic Identities Quiz

Which of the following is the correct expression for the identity (a+b)2?

• a2 + b2

• a2 + 2ab + b2

• a2 - 2ab + b2

• a2 + ab + b2

What is the identity for (a−b)2?

• a2 - b2

• a2 + 2ab + b2

• a2 - 2ab + b2

• a2 + 2b2

The expression a2 - b2 can be factored as:

• (a−b)(a−b)

• (a+b)(a+b)

• (a+b)(a−b)

• (a2+b2)

Which of the following is the expanded form of (x+y+z)2?

• x2 + y2 + z2 + 2xy + 2xz + 2yz

• x2 + y2 + z2 + xy + xz + yz

• x2 + y2 + z2 + 2xy + 2xz - 2yz

• x2 + y2 + z2 + 2xyz

Which identity represents the expansion of (x+y)3?

• x3 + y3

• x3 + 3x2y + 3xy2 + y3

• x3 + 3xy + y3

• x3 + y3 + 3xy(x+y)

The identity (a+b)3 can be expressed as:

• a3 + b3 + 3a2b + 3ab2

• a3 + b3 + 3ab(a+b)

• a3 + b3 + 2ab(a+b)

• a3 + 3ab + b3

The identity for (a−b)(a+b) is:

• a2 + b2

• a2 - b2

• a2 - 2ab + b2

• a2 + 2ab + b2

Which of the following identities is used to express (a3−b3)?

• (a−b)(a2+ab+b2)

• (a−b)(a+b)

• (a2−b2)

• (a+b)(a2−ab+b2)

The expansion of (a+b)4 is:

• a4 + 4a3b + 6a2b2 + 4ab3 + b4

• a4 + 3a3b + 3ab3 + b4

• a4 + 4ab4 + b4

• a4 + 2ab + b4

The cube of the sum of two terms (x+y)3 results in:

• x3 + 3x2y + 3xy2 + y3

• x3 + 3xy + y3

• x3 + y3

• x3 + y3 + 2xy(x+y)