5 Questions
What is the result of expanding the expression 3x(x + 1)?
3x^2 + 3x + 1
What is the result of factoring the expression x(x − 4)?
x(x - 4)
What is the result of simplifying the expression 3x(x + 1) + x(x −4)?
4x^2 - x
What is the coefficient of the x^2 term in the expanded expression 3x(x + 1) + x(x −4)?
4
What is the result of combining like terms in the expression 3x(x + 1) + x(x −4)?
4x^2 - x
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.
Learn how to expand algebra expressions by multiplying terms outside the brackets with terms inside, and combining like terms to simplify the result.
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