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Simplification of an Expression

Write each of...

Question

Write each of the following statements by using appropriate grouping symbols:
The subtraction of $x^{2} - y^{2} + 4 x y$ from $2 x^{2} + y^{2} - 3 x y$ is added to $9 x^{2} - 3 y^{2} - x y .$

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Solution

${(2 x^{2} + y^{2} - 3 x y) - (x^{2} - y^{2} + 4 x y)} \to$ subtraction

required expression
${(2 x^{2} + y^{2} - 3 x y) - (x^{2} - y^{2} + 4 x y)} + (9 x^{2} - 3 y^{2} - x y) \to$ addition

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Similar questions

Q. Write each of the following statements by using appropriate grouping symbols:
(i) The sum of a − b and 3a − 2b + 5 is subtracted from 4a + 2b − 7.
(ii) Three times the sum of 2x + y − {5 − (x − 3y)} and 7x − 4y + 3 is subtracted from 3x − 4y + 7.
(iii) The subtraction of x² − y² + 4xy from 2x² + y² − 3xy is added to 9x² − 3y² − xy.

Q. Write the following statement by using appropriate grouping symbols:
The sum of

a - b

3 a - 2 b + 5

is subtracted from

4 a + 2 b - 7.

Q. From the sum of x² + 3y² − 6xy, 2x² − y² + 8xy, y² + 8 and x² − 3xy subtract −3x² + 4y² − xy + x − y + 3.

Q. What would be subtracted from

x^{2} - x y + y^{2} - x + y + 3

- x^{2} + 3 y^{2} - 4 x y + 1

Q. What should be added to

x^{2} + x y + y^{2}

2 x^{2} + 3 x y

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Simplification of an Expression

Standard VIII Mathematics

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