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Questions and Answers
What is the result of expanding the expression 3x(x + 1)?
What is the result of expanding the expression 3x(x + 1)?
What is the result of factoring the expression x(x − 4)?
What is the result of factoring the expression x(x − 4)?
What is the result of simplifying the expression 3x(x + 1) + x(x −4)?
What is the result of simplifying the expression 3x(x + 1) + x(x −4)?
What is the coefficient of the x^2 term in the expanded expression 3x(x + 1) + x(x −4)?
What is the coefficient of the x^2 term in the expanded expression 3x(x + 1) + x(x −4)?
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What is the result of combining like terms in the expression 3x(x + 1) + x(x −4)?
What is the result of combining like terms in the expression 3x(x + 1) + x(x −4)?
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Study Notes
Expanding Algebra Expressions
- Expanding an expression means multiplying the terms outside the brackets with the terms inside the brackets.
- In the expression
3x(x + 1),3xis multiplied withxand3xis multiplied with1to get3x^2 + 3x.
Combining Like Terms
- When expanding an expression, like terms can be combined.
- In the expression
x(x − 4),xis multiplied withxto getx^2andxis multiplied with-4to get-4x. - Combining like terms in the expression
3x^2 + 3x - 4x - 4x^2, we get-x^2 - x - 4.
Simplifying Expressions
- Simplifying an expression means combining like terms to get a simpler form.
- In the expression
-x^2 - x - 4, there are no like terms to combine, so it is already in its simplest form.
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Description
Learn how to expand algebra expressions by multiplying terms outside the brackets with terms inside, and combining like terms to simplify the result.
