Question 1

Which algebraic identity can be used to factorize the expression x^2 - y^2?

Accepted Answer

(x - y)(x + y)

Answer

(x^2 - y^2)^2

Answer

(x^2 - 2xy + y^2)

Answer

(x^2 + y^2)

Question 2

Which algebraic identity can be used to factorize the expression 4x^2 - 9?

Accepted Answer

(2x - 3)(2x + 3)

Answer

(2x + 3)(2x - 3)

Answer

(2x^2 - 3)

Answer

(4x^2 - 9)^2

Question 3

Which algebraic identity can be used to factorize the expression 9x^2 + 24xy + 16y^2?

Accepted Answer

(3x + 4y)^2

Answer

(9x^2 + 16y^2)

Answer

(3x^2 + 4y^2)

Answer

(2x + 3y)(4x + 3y)

Question 4

Which algebraic identity can be used to factorize the expression 2x^3 - 8?

Accepted Answer

2(x - 2)(x^2 + 2x + 4)

Answer

(2x - 2)(x^2 - 2x + 4)

Answer

(2x - 8)(x + 1)

Answer

(2x^3 + 8)

Question 5

Which algebraic identity can be used to factorize the expression x^2 + 2xy + y^2?

Accepted Answer

(x + y)^2

Answer

(x^2 + 4xy + y^2)

Answer

(x + y)(x - y)

Answer

(x^2 - y^2)

Question 6

Which algebraic identity can be used to factorize the expression 16x^2 - 25y^2?

Accepted Answer

(4x - 5y)(4x + 5y)

Answer

(4x - 5y)^2

Answer

(4x + 5y)^2

Answer

(16x^2 + 25y^2)

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