Algebraic Expressions and Identities

Which is the like term as 24a²bc?

• 13 × 8a × 2b × c × a

• 8 × 3 × a × b × c

• 3 × 8 × a × b × c × c

• 3 × 8 × a × b × b × c

Which of the following is an identity?

• (p + q)² = p² + q²

• p² – q² = (p – q)²

• p² – q² = p² + 2pq – q²

• (p + q)² = p² + 2pq + q²

The irreducible factorisation of 3a3 + 6a is

• 3a (a² + 2)

• 3 (a³ + 2)

• a (3a² + 6)

• 3 × a × a × a + 2 × 3 × a

a ( b + c) = ab + ac is

• commutative property

• distributive property

• associative property

• closure property

The representation of an expression as the product of its factors is called __________.

(x + a) (x + b) = x² + (a + b)x + ________.

An identity is true for all values of its variables.

• TRUE

• FALSE

The common factor of x²y and – xy² is xy.

• TRUE

• FALSE

(3x + 3x²) ÷ 3x = 3x²

• TRUE

• FALSE