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

Solve the initial value by laplace transform method, Question: Solve the i...

Question: Solve the initial value problem 2x'' +x'-x =27 Cos2t +6 Sin 2t, x(0)=2 , x'(0)= -2 by using Laplace transform method.

Core concepts, Discuss mareketing core concepts analysing how they are used...

Discuss mareketing core concepts analysing how they are used in marketing hospitality product

What was the planes average speed, A ?ight from Pittsburgh to Los Angeles t...

A ?ight from Pittsburgh to Los Angeles took 5 hours and covered 3,060 miles. What was the plane's average speed? Find out the rate at that Susan is traveling through dividing h

Multiplication and division , In multiplication and division we have 1) ...

In multiplication and division we have 1) Suggested ways of conveying the meaning of multiplication and division to children. These operations have to be taught as an activit

Sas, can you tell me how to find the "x" and the "y" when trying to find if...

can you tell me how to find the "x" and the "y" when trying to find if two triangles are smiliar

Example of business applications, An apartment complex contains 250 apartme...

An apartment complex contains 250 apartments to rent.  If they rent x apartments then their monthly profit is specified by, in dollars,,                                      P ( x

Area of the equilateral triangle, Area of the equilateral triangle: ...

Area of the equilateral triangle: Given : D, E, F are the mind points of BC, CA, AB. R.T.P. : We have to determine the ratio of the area of of triangle DEF and triangle AB

Coordinate geometry, find the value of x for which the distance between the...

find the value of x for which the distance between the points p(4,-5) and q(12,x) is 10 units

Pythagorean theorem, when one side of a triangle is 15cm and the bottom of ...

when one side of a triangle is 15cm and the bottom of the triangle is 12cm what would x be rounded to the nearest tenth?

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