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 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
In algebraic expressions, what does the term 'coefficient' refer to?
A). The constant part of the expression
B). The highest power of a variable
C). The number in front of a variable
D). The solution to the equation
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
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 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 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
What is the fundamental concept of algebra?
A). Solving equations
B). Studying biology
C). Programming languages
D). Art and literature
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 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 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