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

Ratios, 450 students. if there are 50 more boys than girls, how many boys a...

450 students. if there are 50 more boys than girls, how many boys and girls are there?

Area related to circle, If ABCD isaa square of side 6 cm find area of shad...

If ABCD isaa square of side 6 cm find area of shaded region

Solve 9 sin ( 2 x )= -5 cos(2x ) on[-10, Solve 9 sin ( 2 x )= -5 cos(2x ) o...

Solve 9 sin ( 2 x )= -5 cos(2x ) on[-10,0]. Solution At first glance this problem appears to be at odds with the sentence preceding the example. However, it really isn't.

Finding the equation of a line, Finding the Equation of a line, Given a Slo...

Finding the Equation of a line, Given a Slope and a Point ? Find the equation of a line with slope m = 2, which passes through the point (-1, -3). Solution: Use the po

The quantity x + 6 is divided by negative four find number, Negative four i...

Negative four is multiplied through the quantity x + 8. If 6x is then added to this, the output is 2x + 32. What is the value of x? twice the quantity x + 6 is divided by negative

Calculus, using 5 rectangles what is the area under a curve using the funct...

using 5 rectangles what is the area under a curve using the function f(x)=3x+4 and boundries [0,2]

Find the area of the shaded region of square, In the adjoining figure, ABCD...

In the adjoining figure, ABCD is a square of side 6cm.  Find the area of the shaded region. Ans:    From P draw PQ ⊥ AB AQ = QB = 3cm (Ans: 34.428 sq cm) Join PB

What is the value of tan in terms of sin, What is the value of tan? in term...

What is the value of tan? in terms of sin?. Ans:    Tan ? = S i n ?/ C os ? Tan ? = S i n ? / √1 - S i n   2?

Calculate the equation, Problem1: Find the general solution on -π/2 Dy/...

Problem1: Find the general solution on -π/2 Dy/dx +(tan x)y =(sin 2 x)y 4

Function, definition and examples and types

definition and examples and types

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