Multiplication example, Mathematics

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.

Posted Date: 9/13/2012 3:11:58 AM | Location : United States







Related Discussions:- Multiplication example, Assignment Help, Ask Question on Multiplication example, Get Answer, Expert's Help, Multiplication example Discussions

Write discussion on Multiplication example
Your posts are moderated
Related Questions
Kara brought $23 with her when she went shopping. She spent $3.27 for lunch and $14.98 on a shirt. How much money does she have left? The two items that Kara bought must be sub

x ?8x ?16x ? 0, x?0? ? 0, x?0? ? 2

find the area of this figure in square millimeter measure each segment to the nearest millmeter

Prove that in any triangle the sum of the squares of any two sides is equal to twice the square of half of the third side together with twice the square of the median, which bisect

We are until now going to suppose that there will be no external forces acting on the system, along with the exception of damping obviously. Under this case the differential equati

Find the slope of the line tangent to the graph of f(x)= 3-2ln(2x^2+4) at the point (4, F(4))

The football boosters club had 80 T-shirts made to sell at football games. Through mid-October, they had only 12 left. What percent of the shirts had been sold? Denote the numb

a box contains 4 white and 6 green balls.Two balls are drawn randomly with replacement.Show the probability on tree dig.

We contain a piece of cardboard i.e. 14 inches by 10 inches & we're going to cut out the corners as illustrates below and fold up the sides to form a box, also illustrated below. F