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.
Q
Which of the following is a valid algebraic identity?
Related Questions on Average
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 purpose of using variables in algebra?
A). Representing unknown quantities
B). Making calculations faster
C). Adding complexity to equations
D). Ignoring numerical values
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 property allows you to multiply a sum by distributing the multiplication over each term?
A). Distributive property
B). Commutative property
C). Associative property
D). Identity property
Which of the following is a variable in algebra?
A). x + 5
B). 10
C). 2x
D). y * z
What is the solution to the equation 2x + 3 = 7 in algebra?
A). x = 4
B). x = 2
C). x = 5
D). x = 1
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 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 binomial in algebra?
A). 2x^2 + 5
B). 3x^3 + 2x^2 - x
C). x^2 - 4
D). 4x + 7
What is the fundamental concept of algebra?
A). Solving equations
B). Studying biology
C). Programming languages
D). Art and literature