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 value of the first instalment, A man arranges to pay a debt of Rs....

A man arranges to pay a debt of Rs.3600 in 40 monthly instalments which are in a AP. When 30 instalments are paid he dies leaving one third of the debt unpaid. Find the value of th

Vector addition, Is it possible to add two vectors of unequal magnitude and...

Is it possible to add two vectors of unequal magnitude and get a resultant of zero?Please explain also. Ans) no it is not possible as .. if the magnitude is diffrent then they c

Find the ratio of line segment, Find the ratio in which the line segment jo...

Find the ratio in which the line segment joining A(6,5) and B(4,-3) is divided by the line y=2           (Ans:3:5) Ans :   Let the ratio be k:1 x = 4 k + 6/ k +1 y

Systems of differential equations, For this point we've only looked as solv...

For this point we've only looked as solving particular differential equations. Though, many "real life" situations are governed through a system of differential equations. See the

What is number systems, NUMBER SYSTEMS: Numbers  are intellectual  witne...

NUMBER SYSTEMS: Numbers  are intellectual  witnesses  that belong  only  to  mankind. Example: If the H C F of 657 and 963 is expressible in the form of 657x + 963 x -

Compound and simple interest, Your grandparents gave you a gift of R2 000 o...

Your grandparents gave you a gift of R2 000 on your 16th birth day. You want to invest the money in an account over four years. You have an option of investing the R2 000 at 8% per

Calculus, I need an explanation of "the integral, from b to a, of the deriv...

I need an explanation of "the integral, from b to a, of the derivative of f (x). and, the integral from a to b. of the derivative of f(t) dt.

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