26 Questions
What is the simplified form of the expression (7x^4 + 5 - 2x) + (6x - 7 + 6x^4)?
13x^4 + 4x - 4
Which of the following represents the expression (3 - 2x)(7x + 1) correctly simplified?
21x - 6x^2 - 1
What is the result of simplifying (4p^2 + 2 - 4p) - (7p - p^2 + 1)?
5p^2 - 11p + 1
After simplification, what is the correct expression for (8k - 2k^3 - 6k^2) - (2k^2 + 4k - 3k^3)?
-6k^3 + 11k^2 + 4k
What is the simplified form of (2 - 7x^4 - 4x^2) - (2x^4 - 7x - 4)?
-9x^4 - 4x^2 + 7x
After expanding and combining like terms, what is the correct result for (v - 1)(4v + 1)?
4v^2 - v - 1
What is the result of simplifying the expression $(n + n)(n - n)$?
$0$
If $(k + k)(k - k)$ is simplified, what is the result?
$0$
Simplify the expression $(x + x)(x - x)$.
$0$
What is the result of simplifying $(m + m)(m - m)$?
$0$
Simplify the expression $(r + r)(r - r)$.
$0$
What is the result of simplifying $(n + n)(n - n)$?
$0$
Simplify the expression $(x + x)(x - x)$.
$0$
What is the result of simplifying $(a + a)(a - a)$?
$0$
What is the product of $(k)(k)$?
$k^2$
What is the product of $(x)(x)$?
$x^2$
What is the simplified form of (x + x^2)(x - x^2)?
x^2
If (n + n^2)(n - n) is simplified, what is the result?
n^2
What is the simplified form of (a + a^2)(a - a^2)?
a^2 - a^4
If (x + x^2)(x + x^2) is expanded, what is the result?
x^4 + 2x^3 + x^2
What is the product of (x + x^2)(x - x^2)?
x^2
If (x - x^2)(x - x^2) is simplified, what is the result?
x^4 - 2x^3 + x^2
What is the simplified form of (x + x^2)(x + x^2)?
x^4 + 2x^3 + x^2
What is the simplified form of (m)(m)?
m^2
If (n)(n) is simplified, what is the result?
n^2
What is the product of (x - x^2)(x + x^2)?
x^4 + x^2
Study Notes
Here are the study notes for the text:
- Simplifying Expressions*
- Simplify each expression by combining like terms:
- Example:
(2x^2 + 3x - 4) - (x^2 - 2x + 1)=x^2 + 5x - 3 - Example:
(3k + 2) - (k - 1)=2k + 3
- Example:
- Product of Expressions*
- Find the product of two expressions:
- Example:
(k + 2)(k - 3)=k^2 - k - 6 - Example:
(2x + 1)(x - 4)=2x^2 - 7x - 4
- Example:
- Simplifying Expressions with Multiple Variables*
- Simplify expressions with multiple variables:
- Example:
(2x^2y + 3xy - 4y) - (x^2y - 2xy + 1)=x^2y + 5xy - 3y - Example:
(3m^2n + 2mn - 5n) - (m^2n - 3mn + 2n)=2m^2n + 5mn - 3n
- Example:
- Product of Expressions with Multiple Variables*
- Find the product of two expressions with multiple variables:
- Example:
(2m + 3n)(m - 2n)=2m^2 - 7mn - 6n^2 - Example:
(3x^2y - 2xy + 1)(2x^2y + 3xy - 4)=6x^4y^2 - 13x^3y^2 - 3x^2y^2 + 5xy^2 + 4
- Example:
Let me know if you'd like me to add or clarify anything!
This worksheet by Kuta Software LLC contains practice questions for simplifying expressions. Students are required to simplify algebraic expressions by combining like terms and performing operations such as addition, subtraction, and multiplication.
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