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In this video we’re going to look at how to simplify algebraic expressions. Before we get started on simplifying, a few things to remember:
(1) we always use a use a curly x for the letter x in algebra.
(2) We don’t really use the multiplication sign. 3a is how we write 3 X a.
(3) Instead of using the division sign, we use fractions.
3 divided by 2 is written as 3/2. In algebra we are often asked to simplify something, or to put it in its simplest form. Generally speaking, the simpler it is, the easier it is to use. We just need to combine like terms. Simplify fully 5a - 2b + 3a + 2 + 4b - 7. We combine the a’s to get 8a, and we combine the b’s (including the sign in front of each term) to get 2b. And finally we combine the numbers to get -5. Answer: 8a + 2b - 5. We cannot combine different letters so that is the simplest form. This expression may represent 8 apples and 2 bananas, which are different things so cannot be added together. For division, you can cancel numbers exactly as you would with fractions. And also you can also cancel down letters.
So if you have a to the power of 5 in the numerator and a to the power of 3 in the denominator, we can cancel these down to end up with a to the power of 2 in the numerator and no a's left in the denominator. We can also simplify by factoring into brackets or by expanding brackets - which are skills we will look at in other videos.
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Watch this video to discover how to plot straight lines onto a graph.
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In algebra, we replace a letter with numbers in the process known as substitution. Given the formula A = 1/2bh, if the base is 5cm and the height is 10cm, then the area is ½ X 5 X 10 because we have replaced the b with 5 and the h with 10. You just need to be be careful with negative numbers: it is
Learn the basics about the covalent bonding of water, when learning about covalent bonding within properties of matter.
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This video is part of 'Chemistry for All' - a Chemistry Education project by our Charity Fuse Foundation - the organisation behind The Fus