R. D. Sharma Solutions for Chapter: Algebraic Expressions, Exercise 4: EXERCISE

Simplify the following algebraic expression by removing grouping symbols.
$-2\left({\mathrm{x}}^2-{\mathrm{y}}^2+\mathrm{xy}\right)-3\left({\mathrm{x}}^2+{\mathrm{y}}^2-\mathrm{xy}\right)$

Simplify the following algebraic expression by removing grouping symbols.
$-\mathrm{a}-\left[\mathrm{a}+\left\{\mathrm{a}+\mathrm{b}-2\mathrm{a}-\left(\mathrm{a}-2\mathrm{b}\right)\right\}-\mathrm{b}\right]$

Find the simplified form of the given expression.

$2\mathrm{x}-3\mathrm{y}-\left[3\mathrm{x}-2\mathrm{y}-\left\{\mathrm{x}-\mathrm{z}-\left(\mathrm{x}-2\mathrm{y}\right)\right\}\right]$

Simplify the following algebraic expression by removing grouping symbols.
$5+\left[\mathrm{x}-\left\{2\mathrm{y}-\left(6\mathrm{x}+\mathrm{y}-4\right)+2\mathrm{x}\right\}-\left\{\mathrm{x}-\left(\mathrm{y}-2\right)\right\}\right]$

If the simplification of algebraic expression ${\mathrm{x}}^2-\left[3\mathrm{x}+\left\{2\mathrm{x}-\left({\mathrm{x}}^2-1\right)\right\}+2\right]$ gives $a{\mathrm{x}}^2+\mathrm{bx}+\mathrm{c}$, find $a+b+c$.

If the algebraic expression $20-\left[5\mathrm{xy}+3\left\{{\mathrm{x}}^2-\left(\mathrm{xy}-\mathrm{y}\right)-\left(\mathrm{x}-\mathrm{y}\right)\right\}\right]$ by removing grouping symbols gives ${\mathrm{ax}}^m-2\mathrm{xy}-6y+b\mathrm{x}+20$, find $a+b+m$.
$$

Find the simplified form of the given algebraic expression.

$85-\left[12\mathrm{x}-7\left(8\mathrm{x}-3\right)-2\left\{10\mathrm{x}-5\left(2-4\mathrm{x}\right)\right\}\right]$

Find the simplified form of the given algebraic expression.

$\mathrm{xy}\left[\mathrm{yz}-\mathrm{zx}-\left\{\mathrm{yx}-\left(3\mathrm{y}-\mathrm{x}\right)-\left(\mathrm{xy}-\mathrm{zy}\right)\right\}\right]$