Multiplication example, Mathematics

Assignment Help:

Example 

Multiply 3x5 + 4x3 + 2x - 1 and x4 + 2x2 + 4.

The product is given by

3x5 . (x4 + 2x2 + 4) + 4x3. (x4 + 2x2 + 4) + 2x .

(x4 + 2x2 + 4) - 1 . (x4 + 2x2 + 4)

= 3x5 . x4 + 3x5 . 2x2 + 3x5 . 4 + 4x3 . x4 + 4x3 .

2x2 + 4x3 . 4 + 2x . x4 + 2x . 2x2 + 2x . 4 - x4 - 2x2 - 4

To simplify the above we employ a rule which we will learn in laws of indices. It states that  xm . xn = xm+n

= 3x9 + 6x7 + 12x5 + 4x7 + 8x5 + 16x3 + 2x5 + 4x3 + 8x - x4 - 2x2 - 4  

Now we collect like terms and simplify them. We obtain 3x9 + 10x7 + 22x5 - x4 + 20x3 - 2x2 + 8x - 4.


Related Discussions:- Multiplication example

How to find total no. of unordered pairs , How to find total no. of unorder...

How to find total no. of unordered pairs of disjoint subsets of a finite set? Solution) Suppose A and B are two such disjoint subsets of the set S. Then every element can go into

Relate Fractions and Whole Numbers, Jon ran around a track that was one eig...

Jon ran around a track that was one eighth of a mile long.He ran around the track twenty four times.How many miles did Jon run in all

Rules of game theory, Rules Of Game Theory i.   The number of competito...

Rules Of Game Theory i.   The number of competitors is finite ii.   There is conflict of interests among the participants iii.  Each of these participants has available t

If the squared difference of the zeros find the value of p, If the squared ...

If the squared difference of the zeros of the quadratic polynomial x 2 + p x + 45 is equal to 144 , find the value of p.

Simplification, how do we answer questions with fraction mixed. what are th...

how do we answer questions with fraction mixed. what are the easier ways to do it

Statistics, How do I choose a distribution test for a sample size of 60? Pr...

How do I choose a distribution test for a sample size of 60? Probability of rolling a 4 on a six sided die.

Irregular shapes and solids, find the area of the irregular shape 2cm 4cm 4...

find the area of the irregular shape 2cm 4cm 4cm 2cm 5cm 5cm

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