Simplifying expressions involves combining like terms, removing parentheses, and using the distributive property.
Simplify the expression 2x + 3y + x – 2y.
Use the distributive property: 2(a + 3) = 2a + 6, and -4(2a – 1) = -8a + 4.
Combine like terms: 2a – 8a = -6a.
The simplified expression is -6a + 6.
Simplify the expression 2(a + 3) – 4(2a – 1).
Use the distributive property: 2(a + 3) = 2a + 6, and -4(2a – 1) = -8a + 4.
Combine like terms: 2a – 8a = -6a.
The simplified expression is -6a + 6.
Solving equations involves finding the value of the variable that makes the equation true.
Solve the equation 2x – 5 = 9.
Add 5 to both sides to isolate the term with x: 2x = 14.
Divide by 2 to solve for x: x = 7.
Solve the equation 3(x – 2) = 12.
Use the distributive property: 3(x – 2) = 3x – 6.
Add 6 to both sides to isolate the term with x: 3x = 18.
Divide by 3 to solve for x: x = 6.
Factoring involves expressing an expression as a product of its factors.
Factor the expression x² – 4.
Recognize it as a difference of squares: x² – 4 = (x + 2) (x – 2).
Factor the expression 2x² + 8x.
Factor out the common factor: 2x² + 8x = 2x (x + 4).
Simplifying fractions involves canceling out common factors in the numerator and denominator.
Simplify the fraction (4x² – 16) / (2x² – 8).
Factor the numerator and denominator: (4x² – 16) / (2x² – 8) = 4(x + 4) / 2(x – 4).
Cancel out common factors: 4(x + 4) / 2(x – 4) = 2(x + 4) / (x – 4).
Simplify the fraction (6x³ – 3x) / (9x² – 6).
Factor the numerator and denominator: (6x³ – 3x) / (9x² – 6) = 3x (2x² – 1) / 3(3x² – 2).
Cancel out common factors: 3x (2x² – 1) / 3(3x² – 2) = x (2x² – 1) / (3x² – 2).
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What is the result of simplifying 2x + 3y – x – 2y?
Which of the following is equivalent to 3(x + 2) – 2(x – 1)?
What is the result of simplifying 4(x² + 2x + 1) – 2x(x + 1)?
Which of the following is equivalent to 2(x – 3) + 3(x + 2)?
What is the result of simplifying 2x² + 3x + 4 – (x² – 2x + 1)?
Which of the following is equivalent to (2x + 3)(x – 4)?
What is the result of simplifying 3(2x + 4) + 5(x – 2)?
Which of the following is equivalent to (x + 2)²?
What is the result of simplifying 2x – (3x + 4) – (x – 2)?
Which of the following is equivalent to 3(x – 2) + 2(3x + 1)?
What is the result of simplifying 4x² + 3x – (2x² – x + 5)?
Which of the following is equivalent to (x + 3)(x – 3)?
What is the result of simplifying 2(x + 4) – 3(x – 2) + 5x?
Which of the following is equivalent to (2x – 3)(x + 4)?
What is the result of simplifying 5x² + 3x + 2 – (2x² + 4x – 1)?
Which of the following is equivalent to 2(x + 1) – (x – 2)?
What is the result of simplifying 3(2x – 1) – 2(3x + 2) + 4x?
Which of the following is equivalent to (x – 2)²?
What is the result of simplifying 3x + 2(x – 3) + 5(2x + 1)?
Which of the following is equivalent to (2x + 3)(2x – 3)?
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What is the result of simplifying 2x + 3y - x - 2y?
Which of the following is equivalent to 3(x + 2) - 2(x - 1)?
What is the result of simplifying 4(x² + 2x + 1) - 2x(x + 1)?
Which of the following is equivalent to 2(x - 3) + 3(x + 2)?
What is the result of simplifying 2x² + 3x + 4 - (x² - 2x + 1)?
Which of the following is equivalent to (2x + 3)(x - 4)?
What is the result of simplifying 3(2x + 4) + 5(x - 2)?
Which of the following is equivalent to (x + 2)²?
What is the result of simplifying 2x - (3x + 4) - (x - 2)?
Which of the following is equivalent to 3(x - 2) + 2(3x + 1)?
What is the result of simplifying 4x² + 3x - (2x² - x + 5)?
Which of the following is equivalent to (x + 3)(x - 3)?
What is the result of simplifying 2(x + 4) - 3(x - 2) + 5x?
Which of the following is equivalent to (2x - 3)(x + 4)?
What is the result of simplifying 5x² + 3x + 2 - (2x² + 4x - 1)?
Which of the following is equivalent to 2(x + 1) - (x - 2)?
What is the result of simplifying 3(2x - 1) - 2(3x + 2) + 4x?
Which of the following is equivalent to (x - 2)²?
What is the result of simplifying 3x + 2(x - 3) + 5(2x + 1)?
Which of the following is equivalent to (2x + 3)(2x - 3)?