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Simplify: $3\\ \\times \\ \\left( 2x^{2} \\ +\\ 5xy\\right)$

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Tutorialspoint

Updated on 10-Oct-2022 09:40:29

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Given: $3\ \times \ \left( 2x^{2} \ +\ 5xy\right)$To find: Here we have to simplify the given expression $3\ \times \ \left( 2x^{2} \ +\ 5xy\right)$.Solution:$3\ \times \ \left( 2x^{2} \ +\ 5xy\right)$$=\ 3\ \times \ \left( 2x^{2}\right) \ +\ 3\ \times \ ( 5xy)$$=\ \mathbf{6x^{2} \ +\ 15xy}$So, answer is $6x^{2} \ +\ 15xy$.

How to write flow chart of food group ?

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Tutorialspoint

Updated on 10-Oct-2022 09:40:29

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This above food chart can be written as:  

Simplify the following:$1234567 \\times 23456$

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Tutorialspoint

Updated on 10-Oct-2022 09:40:29

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Given :The given expression is $1234567 \times 23456$.To do :We have to find the value of the given expression.Solution :While multiplying very big numbers it helps if we break down into small parts like below:$1234567 \times 23456 = 1234567 \times (20000+3000+400+50+6)$                                  $= 1234567 \times 20000 + 1234567 \times 3000 + 1234567 \times 400 + 1234567 \times 50 + 1234567 \times 6$                                  $= 24691340000 + 3703701000 + 493826800 + 61728350 + 7407402$                                  $= 28958003552$.The value of $1234567 \times 23456$ is $2895800355$

Simplify:
$(7x\\ -\\ 6y)(6x\\ -\\ 7y)$

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Tutorialspoint

Updated on 10-Oct-2022 09:40:29

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Given: $(7x\ -\ 6y)(6x\ -\ 7y)$To do: Here we have to simplify the given expression $(7x\ -\ 6y)(6x\ -\ 7y)$.Solution:$(7x\ -\ 6y)(6x\ -\ 7y)$$=\ 7x(6x\ -\ 7y)\ -\ 6y(6x\ -\ 7y)$$=\ 42x^{2} \ -\ 49xy\ -\ 36xy\ -\ 42y^{2}$$=\ \mathbf{42x^{2} \ -\ 85xy\ -\ 42y^{2}}$So, answer is 42x^{2} \ -\ ... Read More

Why is the sound produced by guitar different from the sound of the drum ?

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Tutorialspoint

Updated on 10-Oct-2022 09:40:29

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The difference in sound that we perceive is due to frequency. The sound of Guitar has a particular frequency depending on the length of the string and tension in it Unlike a guitar, a drum does not produce a sound with a definite frequency. It is a combination of multiple ... Read More

What is matrix?

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Tutorialspoint

Updated on 10-Oct-2022 09:40:28

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Matrix is the material or tissue in between a eukaryotic organism's cells (in animal or plant cells) in which specialized structures are fixed to a surrounding mass. It is found in various connective tissues. Fingernails and toenails grow from matrices.  For example, there are matrices such as the Golgi apparatus ... Read More

Find the difference between the largest 3 digit number and the smallest 6 digit number.

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Tutorialspoint

Updated on 10-Oct-2022 09:40:28

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Given :The largest 3 digit number and the smallest 6 digit number.To do :We have to find the difference between the largest 3 digit number and the smallest 6 digit number.Solution :The largest 3 digit number is 999.The smallest 6 digit number is 100000.The difference between the largest 3 digit ... Read More

Identify all the lines and mention and all the angles in the given figure.
"

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Tutorialspoint

Updated on 10-Oct-2022 09:40:28

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Given :The figure lines from the point are given.To do :We have to identify the line segments and angles from the given figure.Solution :In the given figure,OA, OB, and OC are the line segments.$ \angle AOB, \angle AOC, and \angle BOC$ are the angles.

What are Herbivores?

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Tutorialspoint

Updated on 10-Oct-2022 09:40:27

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Herbivores are those animals or insects that are anatomically and physiologically adapted to eating plant material such as grasses, fruits, leaves, vegetables, roots, and bulbs. Example- Cow, Goat, Deer, Rabbit, Grasshopper, etc.

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