Q
Which of the following is a valid algebraic identity?

Answer & Solution

Answer: Option B
Solution:
The identity (x + y)(x - y) = x^2 - y^2 is a valid algebraic identity known as the difference of squares.
Related Questions on Average

What is the purpose of using variables in algebra?

A). Representing unknown quantities

B). Making calculations faster

C). Adding complexity to equations

D). Ignoring numerical values

Which of the following is a trinomial in algebra?

A). 2x^2 + 5

B). 3x^3 + 2x^2 - x

C). x^2 - 4 + 6

D). 4x + 7

What does the term 'expression' refer to in algebra?

A). A mathematical phrase containing numbers and variables

B). An equation with an equal sign

C). A statement that is always true

D). A function with inputs and outputs

In algebraic expressions, what does the term 'exponent' represent?

A). The number being multiplied

B). The result of multiplication

C). The base raised to a power

D). The constant term

What is the solution to the equation 3(x + 4) = 21 in algebra?

A). x = 3

B). x = 5

C). x = 7

D). x = 9

Which property of algebra allows you to add or multiply terms in any order?

A). Commutative property

B). Associative property

C). Distributive property

D). Identity property

Which of the following is a quadratic equation in algebra?

A). 3x - 5 = 0

B). y = mx + b

C). x^2 + 2x + 1 = 0

D). 4x + 7 = 15

What is the correct order of operations in algebraic expressions?

A). Parentheses, Exponents, Multiplication/Division, Addition/Subtraction

B). Exponents, Parentheses, Addition/Subtraction, Multiplication/Division

C). Multiplication/Division, Exponents, Addition/Subtraction, Parentheses

D). Addition/Subtraction, Multiplication/Division, Exponents, Parentheses

What is the solution to the equation 2x^2 + 5x - 3 = 0 in algebra?

A). x = -3 or x = 1/2

B). x = -1/2 or x = 3

C). x = -1 or x = 3/2

D). x = -3/2 or x = 1

Which of the following is a variable in algebra?

A). x + 5

B). 10

C). 2x

D). y * z