Multiplying an algebraic expression involves distributive property and index law. Let’s use this example: 5 multiplied to x is 5x. In multiplying, having a like term is not applied.

Let’s see another example: x(x+1)
x(x+1)                        Expand the following using the distributive law
x(x) + x(1)
x² + x
Another example: (x-2)²
(x-2)²       This equation means that (x – 2) is multiplied with (x – 2)
(x – 2)(x – 2)                             Use distributive law
x(x) +x(-2) – 2(x) – 2(-2)
x² – 2x – 2x + 4
x²– 4x + 4
NOTE: In multiplication, do not forget to follow distributive law.


END OF LESSON EXERCISE
Solve the following algebraic expressions
1. 3x(x -5)
2. (4x-6x)(2x)
3. 7x²(x-2)
4. 4x (4x+3y)
5. 7y²(3x-1)