Example of addition, Example 1 Add 4x 4 + 3x 3

Example of addition, Mathematics

Assignment Help:

Example 1

Add 4x⁴ + 3x³ - x² + x + 6 and -7x⁴ - 3x³ + 8x² + 8x - 4

We write them one below the other as shown below.

	4x⁴ + 3x³ - x² + x + 6
(+)	-7x⁴ - 3x³ + 8x² + 8x - 4

	-3x⁴ + 0 + 7x² + 9x + 2

Example 2

Add 5x⁵ - 6x³ + 4x² + 3x - 7, 3x⁵ - 2x⁴ + 3x² + 6x - 1

and- 3x⁴ + x³ - 5x² + 7x + 4

5x⁵ + - 6x³ + 4x² + 3x - 7

3x⁵ - 2x⁴+ + 3x² + 6x - 1

- 3x⁴+ x³ - 5x² + 7x + 4

8x⁵ - 5x⁴ - 5x³ + 2x² + 16x - 4

Example 3

Subtract -7x⁴ - 3x³+ 8x² + 8x - 4 from 4x⁴ + 3x³ - x² + x + 6

		4x⁴+ 3x³- x² + x + 6
	(-)	-7x⁴- 3x³ + 8x² + 8x - 4

		11x⁴+ 6x³ - 9x² - 7x + 10

In this problem, in some expressions we do not find terms of certain powers. They have been left as blanks.

Example 4

Subtract the first from the second and sum the difference with the third expression. The expressions are given below.

5x⁵ - 6x³ + 4x² + 3x - 7, 3x⁵ - 2x⁴ + 3x²+ 6x - 1 and -3x⁴+ x³- 5x²+ 7x + 4.

The difference of first two expressions is given by

	3x⁵ - 2x⁴ + 3x² + 6x - 1
(-)	5x⁵- 6x³ + 4x² + 3x - 7

	-2x⁵ - 2x⁴ + 6x³ - x² + 3x + 6

The sum of the difference between the first two expressions and the third expression will be as shown below.

-2x⁵ - 2x⁴ + 6x³ - x² + 3x + 6

(+) - 3x⁴+ x³ - 5x² + 7x + 4

-2x⁵ - 5x⁴+ 7x³ - 6x² + 10x + 10

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