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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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The laws of indices make complex sums involving powers much easier to handle.
There are 6 laws we need to know and understand: how to multiply and divide with indices, raising a power to a power, what a power of 0 means, negative indices

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Xylem and Phloem - Part 2 - Transpiration - Transport in Plants: https://bit.ly/39SwKmN
Xylem and Phloem - Part 3 - Translocation - Transport in Plants: https://bit.ly/2XescTp
Structure Of The Leaf: https://bit.ly/3aRYoS9
Plants have a t

In this video we look at more examples of plotting straight lines onto graphs. This time the equations are a little trickier - such as having fractions for the gradients. When completing the table of values, if the equation has fractions in we won't always end up with whole numbers. To be accurate,