Factorization of Algebraic Expressions
This lesson covers the factorization of simple algebraic expressions and quadratic expressions. It includes methods for identifying factors and solving related word problems.
- 14:52 “Now, that's what it means, a square. So I have 2. So instead of being right in the 2, I could just bring them and put the square. So when I see the square, I know that. So this means 2 bracket. And in bracket under facto...”
- 21:11 “Now, what have we done? You split it into 4. So these 2 and these 2 go. So we have between the and near ones, come on, break out, bring out the x. So we could have it as x, open the bracket, x plus 4. Between the and nea...”
- 19:40 “Now, taking it cardioically, we'll move it a step. I will have it as what? x x square plus 4 x, meaning they are square square. So I could have, because of the square, I could have there as 4 plus x plus 4, close the bra...”
Simplification of Algebraic Expressions
This lesson covers the definition of algebraic expressions and their components, including terms and coefficients. It explains how to identify like terms, perform arithmetic operations on similar terms, and simplify expressions by inserting or removing brackets.
- 16:51 “So these cannot be further simplified, because there are no other liking variables or terms, as the case may be. Walking with brackets in algebraic expressions. We sometimes use brackets to group terms in algebraic expre...”
- 19:12 “plus 4 times 2. In other words, 4 groups of 3 plus 2 is the same as 4 groups of 3 plus 4 groups of 2. For example, we expand this expression. 3 into brackets 2a plus b. Now with expansion and the distributive law, this i...”
- 20:52 “Like it says here. Multiply 3 by the second term, like I explained earlier, and you get 3b. At the end of the day, you get 6a plus 3b. More examples. You can solve this on your own. I'll just solve just one of it. Expand...”