Expanding brackets Flashcards
What does it mean to expand brackets in mathematics?
To multiply each term inside the brackets by the term outside the brackets.
Expand the expression: 3(x + 4).
3x + 12
True or False: (a + b)(c + d) can be expanded to ac + ad + bc + bd.
True
What is the first step in expanding 5(2x + 3)?
Multiply 5 by each term inside the brackets.
Expand the expression: 2(3x + 5) - 4.
6x + 10 - 4
Fill in the blank: When expanding brackets, you must always use the _____ property.
distributive
Expand the expression: (x + 2)(x + 3).
x^2 + 5x + 6
What is the result of expanding: 4(2x - 1)?
8x - 4
True or False: Expanding (x - 3)(x + 3) results in x^2 - 9.
True
Expand the expression: (2x + 1)(x + 4).
2x^2 + 8x + 1x + 4
Which of the following is the expanded form of (x + 5)(x - 2)? A) x^2 + 3x - 10 B) x^2 + 3x + 10 C) x^2 - 3x - 10
A) x^2 + 3x - 10
What is the expanded form of 7(x + 2y)?
7x + 14y
Fill in the blank: The expression (x + 1)(x - 1) is an example of a _____ product.
difference of squares
Expand the expression: (3x + 4)(x - 5).
3x^2 - 15x + 4x - 20
What do you get when you expand 2(x + 5) + 3(x - 2)?
5x + 16
True or False: When expanding (x + 2)^2, you get x^2 + 4.
False
Expand the expression: (x + 3)^2.
x^2 + 6x + 9
What is the expanded form of (a + b)(a - b)?
a^2 - b^2
Expand the expression: 2(x - 3) + 4(x + 1).
6x - 2
Which operation is primarily used when expanding brackets?
Multiplication
Expand the expression: 4(3x + 2) - 2(5x - 1).
2x + 10
Fill in the blank: The expression 3(x + 2y) can be expanded to _____ .
3x + 6y
Expand the expression: (2x - 3)(x + 4).
2x^2 + 8x - 3x - 12
True or False: The expansion of (x + 5)(x - 5) results in x^2 - 25.
True
What do you call the process of rewriting an expression without brackets?
Expansion
