R. D. Sharma Solutions for Chapter: Algebraic Expressions, Exercise 3: EXERCISE

Place the last two terms of the following expression in parentheses preceded by a minus sign:
$\mathrm{x}+\mathrm{y}-3\mathrm{z}+\mathrm{y}$

Place the last two terms of the following expression in parentheses preceded by a minus sign:
$3\mathrm{x}-2\mathrm{y}-5\mathrm{z}-4$

Place the last two terms of the following expression in parentheses preceded by a minus sign:
$3\mathrm{a}-2\mathrm{b}+4\mathrm{c}-5$

Place the last two terms of the following expression in parentheses preceded by a minus sign:
$7\mathrm{a}+3\mathrm{b}+2\mathrm{c}+4$

Place the last two terms of the following expression in parentheses preceded by a minus sign:
${\mathrm{a}}^2+{\mathrm{b}}^2-{\mathrm{c}}^2+\mathrm{ab}-3\mathrm{ac}$

Write the following statement by using appropriate grouping symbols:
The sum of $\mathrm{a}-\mathrm{b}$ and $3\mathrm{a}-2\mathrm{b}+5$ is subtracted from $4\mathrm{a}+2\mathrm{b}-7$.

Write the following statement by using appropriate grouping symbols:
Three times the sum of $2\mathrm{x}+\mathrm{y}-\left\{5-\left(\mathrm{x}-3\mathrm{y}\right)\right\}$ and $7\mathrm{x}-4\mathrm{y}+3$ is subtracted from $3\mathrm{x}-4\mathrm{y}+7$.

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