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

Find the second derivative of the equation, Find the second derivative of t...

Find the second derivative of the below given equation Y= e x cosx

Expected value, Expected Value For taking decisions under conditions of...

Expected Value For taking decisions under conditions of uncertainty, the concept of expected value of a random variable is used. The expected value is the mean of a probability

Learning, my math skills are keeping me from getting my ged need help in al...

my math skills are keeping me from getting my ged need help in all areas

Example of fraction, Example  Reduce 24/36 to its lowest terms. 2...

Example  Reduce 24/36 to its lowest terms. 24/36=12/18=6/9=2/3. In the first step we divide the numerator and the denominator by 2. The fraction gets reduced

Trinomial x2 + 2x + 1 what are the dimensions of the field, A farmer's rect...

A farmer's rectangular field has an area in which can be expressed as the trinomial x2 + 2x + 1. In terms of x, what are the dimensions of the field? Because the formula for th

Find the slope of a line given two points on it, Finding the Slope of a Lin...

Finding the Slope of a Line, Given Two Points on it ? Find the slope of the line passing through the pairs of points (-5, -2) and (2, 4). One way to find the slope is

Calculate overhead in bit and time-synchronous communication, 2.    Suppose...

2.    Suppose a file of 35,000 characters is to be sent over a line at 55,000bps. 1. Calculate the overhead in bits and time using asynchronous transmission. Assume 1 start bit

Cone - three dimensional spaces, Cone - Three dimensional spaces The be...

Cone - Three dimensional spaces The below equation is the general equation of a cone. X 2 / a 2 + y 2 /b 2 = z 2 /c 2 Here is a diagram of a typical cone. Not

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