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

Devide polynomials, what is the quotient of 20x to the power of 2 y-16x y t...

what is the quotient of 20x to the power of 2 y-16x y to the power of 2+ 8xy and -8xy

Finish the work., six men and Eight boys can finish a piece of work in 14 d...

six men and Eight boys can finish a piece of work in 14 days while  eight men and twelve boys can do it in 10 days. Find the time taken by  1man alone and that by 1boy alone to fin

Tutor, How to be an expert at expertsmind

How to be an expert at expertsmind

What are the three sides of a right triangle, What are the Three Sides of a...

What are the Three Sides of a Right Triangle? Each side of a right triangle can be labeled opposite, adjacent, or hypotenuse, based on its relationship to the right angle and o

Simultaneous equations with two or more than two variables, Method to solve...

Method to solve Simultaneous Equations with two or more than two variables Method  Above we have seen equations wherein we are required to find the value of the

Metric Units, How do I convert metric units?

How do I convert metric units?

Draw tangent graph y = sec ( x ), G raph y = sec ( x ) Solution: As wi...

G raph y = sec ( x ) Solution: As with tangent we will have to avoid x's for which cosine is zero (recall that sec x =1/ cos x) Secant will not present at

Function expansion, The functions {sinmx; cosmx}; m = 0,....∞ form a ...

The functions {sinmx; cosmx}; m = 0,....∞ form a complete set over the interval x ∈ [ -Π, Π]. That is, any function f(x) can be expressed as a linear superposition of these

Triangle inequalities, poa is a straight line in circle,wher o is center of...

poa is a straight line in circle,wher o is center of circle,b is any pointjoined with p.prove that pa>pb

Evaluate following unit circle, Evaluate following sin 2 ?/3   and sin (-2 ...

Evaluate following sin 2 ?/3   and sin (-2 ?/3) Solution: The first evaluation in this part uses the angle 2 ?/3.  It is not on our unit circle above, though notice that  2 ?/

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