# Factor Difference of Squares

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Videos, worksheets, solutions, and activities to help Algebra 1 students learn how to factor the difference of squares.

What is Difference of Two Squares?
A binomial in the form a2 - b2 is called the difference of two squares.

How to factor a Difference of Two Squares?
a2 - b2 = (a + b)(a - b)

Factor the Difference of Two Squares
This math lesson covers how to factor the difference of two squares by recognizing the pattern a2 - b2 = (a + b)(a - b). A simple example is provided. A second, extended example includes a multi-step factoring problem.
Example 1: Factor 4x2 - 9y2
Example 2: Factor 5x3 - 45x
Difference of Two Squares
Students learn that a binomial in the form a2 - b2 is called the difference of two squares, and can be factored as (a + b)(a - b).
Example: x2 - 144

Factoring Difference of Squares
Factor:
x2 - 25
16a2 - 81
5r2 - 20
Factoring difference of squares
Factor: x2 - 49
a2 - 64
4c2 - 16
25m2 - 36

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You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

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Graphing Parabolas (with videos, worksheets, games & activities)

# Graphing Parabolas

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Math Worksheets

Videos, worksheets, games and activities to help Algebra students learn how to graph parabolas that are written in the vertex form, y = a(x - h)2 + k, by using the coordinates (h, k) to graph the vertex.

What is the vertex form of a parabola?
The vertex form of a parabola is y = a(x - h)2 + k.

How to graph parabolas that are written in the vertex form?
Given the vertex form y = a(x - h)2 + k
1. Plot the vertex (h, k)
2. If a > 0 then (h, k) is the minimum point, if a < 0 then (h, k) is the maximum point.
3. Substitute x = 0, to get the y-intercept
4. Substitute y = 0, to get the x-intercept

How to convert a parabola from standard form to vertex form?
Short cut method:
Given a parabola, y = ax2 + bx + c,
1. Calculate $$h = - \frac{b}{{2a}},k = f\left( { - \frac{b}{{2a}}} \right)$$
2. Rewrite the equation as y = a(x - h)2 + k.

Graphing Parabolas in the vertex form y = a(x-h)2 + k
Graph parabola vertex form

How to Graph a Parabola
This is a quick review of all the parameters involved in graphing a problem in Vertex form.
Parabola Equations - Graphing Parabolas
Students learn to graph quadratic equations that are written in y - k = a(x - h)2 form by using the coordinates (h, k) to graph the vertex, and using the x and y-intercepts to graph the parabola. Students are reminded that to find the y-intercept, they must substitute a 0 in for x, and to find the x-intercept(s), they must substitute a zero in for y.

Rotate to landscape screen format on a mobile phone or small tablet to use the Mathway widget, a free math problem solver that answers your questions with step-by-step explanations.

You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.