# How to factor square expressions with cubes

## Factoring quadratic equations | Algebra | Math | FuseSchool

Click here to see more videos: https://alugha.com/FuseSchool In this video we will discover how to factor quadratic equations. Quadratic equations are expressions with x² as the greatest power. Multiplying out and factoring are the opposite. Factoring means putting in brackets, and in quadratic equations it is usually 2 brackets (x + 2) (x - 3). Every bracket is a factor. We factor x² + 3x - 10. Start by writing down your two brackets, both with an 'x' in front: (x) (x). Now look at the number that stands alone at the end: -10. What is the result of multiplication minus 10? 2 and 5, or 1 and 10. Which of these add up to the number in the middle: + 3? +5, -2. So put these in the brackets. (x + 5) (x - 2). And this is how you factor quadratic equations. It's really important that you check yourself out, so quickly multiply your answer to verify that you factored correctly. Quadratic equations that begin with x², i.e. without a number in front of x² (except 1), are called the normal form of a quadratic equation. Squares that have a coefficient before the x², such as 3x², are called the general form of a quadratic equation. They are a little harder to factorize. Our teachers and animators come together to create fun and easy to understand videos in chemistry, biology, physics, math and IT. Visit us at www.fuseschool.org, where all of our videos are carefully organized by subject and specific order, and to see what else we have to offer. Comment, like and share with other learners. You can both ask and answer questions, and the teachers will contact you. These videos can be used in a reverse model of teaching or as a review aid. Twitter: https://twitter.com/fuseSchool This open educational resource is free and is under a Creative Commons license: Attribution - non-commercial CC BY-NC (View license certificate: http://creativecommons.org/licenses/by- nc / 4.0 /). It is allowed to download the video for non-profit, educational use. If you want to modify the video, please contact us: [email protected]

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