Explain how to distribute simplifying expressions, Mathematics

Assignment Help:

Explain How to Distribute simplifying expressions?

The distributive law states that for all numbers a, b, and c,

a(b + c)= ab + ac

What does this mean in plain language? It means if you want to multiply a by a sum of two (or more) terms, like b + c, you can just multiply by each term seperately.

For example, if you want to multiply 3 by x + 2, you just multply 3 by each of the terms x and 2:

3(x + 2)

= 3 - x + 3 - 2 (You don't usually bother to write this step)

= 3x + 6

Some more examples

Example.

x(x + 2y)

= x + 2 xy

Example.

1.gif (214 bytes)

= 4x + 2.gif (120 bytes)

= 4x + 2

Example.

3x + 4(y + 10)

= 3x + 4y + 40

(Why didn't the 3x get distributed? Because its not part of the multiplication. The only thing being multiplied by y + 10 is 4.)

Example.

(3x + 4)(y + 10)

= (3x + 4) y + (3x + 4) 10

Cool, huh? I distributed the entire expression 3x + 4. Parentheses are required! By the way, we can still distribute some more if we want.

= 3xy + 4y + 30x + 40.


Related Discussions:- Explain how to distribute simplifying expressions

Cartesian Coordinates, In the view below of the robot type of Cartesian Coo...

In the view below of the robot type of Cartesian Coordinates, is not the "Z" and "Y" coordinates reversed? http://www.expertsmind.com/topic/robot-types/cartesian-coordinates-91038

Complementary addition-word problems related to subtraction, Complementary ...

Complementary addition -what number how many things should be added to one number or group to get the other. (e.g., a classroom can seat 50 children, and 20 children are already s

Trigonomitry, Ask if tanA+sinA=m and m^2-n^2=4 rute mn show that tanA-sinA=...

Ask if tanA+sinA=m and m^2-n^2=4 rute mn show that tanA-sinA=n

Evaluating a function, Evaluating a Function You evaluate a function by...

Evaluating a Function You evaluate a function by "plugging in a number". For example, to evaluate the function f(x) = 3x 2 + x -5 at x = 10, you plug in a 10 everywhere you

Combinations, Now we take up combinations and its related concepts. C...

Now we take up combinations and its related concepts. Combinations are defined as each of the groups or selections which can be made by taking some or all of the

Prove that x2 + y2 - 8x - 10y +39 = 0, If the points (5, 4) and (x, y) are ...

If the points (5, 4) and (x, y) are equidistant from the point (4, 5), prove that x 2 + y 2 - 8x - 10y +39 = 0. Ans :   AP = PB AP 2 = PB 2 (5 - 4) 2 + (4 - 5) 2 = (x

Example of distributive law, Maya gives the children examples of distributi...

Maya gives the children examples of distributive with small numbers initially, and leads them towards discovering the law. The usual way she does this is to give the children probl

Tangent lines, Recall also which value of the derivative at a specific valu...

Recall also which value of the derivative at a specific value of t provides the slope of the tangent line to the graph of the function at that time, t. Thus, if for some time t the

Finding the area of a triangle, Q. Finding the Area of a Triangle? Ther...

Q. Finding the Area of a Triangle? There are three commonly used methods to find the area of a triangle. The method you use to find the area depends on the information you kno

What is deductive reasoning, What is Deductive Reasoning ? Geometry is...

What is Deductive Reasoning ? Geometry is based on a deductive structure -- a system of thought in which conclusions are justified by means of previously assumed or proved sta

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd