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 variable in algebra?

A). x + 5

B). 10

C). 2x

D). y * z

Which of the following is an example of a linear equation in algebra?

A). 3x^2 + 5 = 0

B). y = mx + b

C). (x + 2)(x - 3) = 0

D). 2x + 7 = 15

What is the solution to the equation x^2 - 4 = 0 in algebra?

A). x = -2

B). x = 2

C). x = -4

D). x = 4

What is the fundamental concept of algebra?

A). Solving equations

B). Studying biology

C). Programming languages

D). Art and literature

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

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 + 3 = 7 in algebra?

A). x = 4

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What does the term 'factor' mean in algebra?

A). To break down an expression into simpler parts

B). To multiply two or more terms

C). To add terms together

D). To rearrange terms in an equation

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