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Questions and Answers
What is the simplified form of the expression (7x^4 + 5 - 2x) + (6x - 7 + 6x^4)?
What is the simplified form of the expression (7x^4 + 5 - 2x) + (6x - 7 + 6x^4)?
- 18x^4 + 5
- 20x^4 + 4x - 4
- 13x^4 + 4x + 5
- 13x^4 + 4x - 4 (correct)
Which of the following represents the expression (3 - 2x)(7x + 1) correctly simplified?
Which of the following represents the expression (3 - 2x)(7x + 1) correctly simplified?
- 21x - 6x^2 - 2
- 21x - 14x^2 - 2
- 21x - 14x^2 - 1
- 21x - 6x^2 - 1 (correct)
What is the result of simplifying (4p^2 + 2 - 4p) - (7p - p^2 + 1)?
What is the result of simplifying (4p^2 + 2 - 4p) - (7p - p^2 + 1)?
- -5p^2 + 11p + 1
- 5p^2 - 11p + 1 (correct)
- 5p^2 - 5p + 1
- -5p^2 + 13p + 5
After simplification, what is the correct expression for (8k - 2k^3 - 6k^2) - (2k^2 + 4k - 3k^3)?
After simplification, what is the correct expression for (8k - 2k^3 - 6k^2) - (2k^2 + 4k - 3k^3)?
What is the simplified form of (2 - 7x^4 - 4x^2) - (2x^4 - 7x - 4)?
What is the simplified form of (2 - 7x^4 - 4x^2) - (2x^4 - 7x - 4)?
After expanding and combining like terms, what is the correct result for (v - 1)(4v + 1)?
After expanding and combining like terms, what is the correct result for (v - 1)(4v + 1)?
What is the result of simplifying the expression $(n + n)(n - n)$?
What is the result of simplifying the expression $(n + n)(n - n)$?
If $(k + k)(k - k)$ is simplified, what is the result?
If $(k + k)(k - k)$ is simplified, what is the result?
Simplify the expression $(x + x)(x - x)$.
Simplify the expression $(x + x)(x - x)$.
What is the result of simplifying $(m + m)(m - m)$?
What is the result of simplifying $(m + m)(m - m)$?
Simplify the expression $(r + r)(r - r)$.
Simplify the expression $(r + r)(r - r)$.
What is the result of simplifying $(n + n)(n - n)$?
What is the result of simplifying $(n + n)(n - n)$?
Simplify the expression $(x + x)(x - x)$.
Simplify the expression $(x + x)(x - x)$.
What is the result of simplifying $(a + a)(a - a)$?
What is the result of simplifying $(a + a)(a - a)$?
What is the product of $(k)(k)$?
What is the product of $(k)(k)$?
What is the product of $(x)(x)$?
What is the product of $(x)(x)$?
What is the simplified form of (x + x^2)(x - x^2)?
What is the simplified form of (x + x^2)(x - x^2)?
If (n + n^2)(n - n) is simplified, what is the result?
If (n + n^2)(n - n) is simplified, what is the result?
What is the simplified form of (a + a^2)(a - a^2)?
What is the simplified form of (a + a^2)(a - a^2)?
If (x + x^2)(x + x^2) is expanded, what is the result?
If (x + x^2)(x + x^2) is expanded, what is the result?
What is the product of (x + x^2)(x - x^2)?
What is the product of (x + x^2)(x - x^2)?
If (x - x^2)(x - x^2) is simplified, what is the result?
If (x - x^2)(x - x^2) is simplified, what is the result?
What is the simplified form of (x + x^2)(x + x^2)?
What is the simplified form of (x + x^2)(x + x^2)?
What is the simplified form of (m)(m)?
What is the simplified form of (m)(m)?
If (n)(n) is simplified, what is the result?
If (n)(n) is simplified, what is the result?
What is the product of (x - x^2)(x + x^2)?
What is the product of (x - x^2)(x + x^2)?
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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:
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