Question

Solve please...........​

Answer 1

Question-

Add:

$</u><u>\</u><u>s</u><u>f</u><u>\</u><u>g</u><u>r</u><u>e</u><u>e</u><u>n</u><u>{</u><u>( {3x}^{2} - \frac{1}{5} x + \frac{7}{3} ) + ( - \frac{1}{4} {x}^{2} + \frac{1}{3} x - \frac{1}{6} ) + ( - 2 {x}^{2} - \frac{1}{2} x + 5)</u><u>}</u><u>$

Step-by-step explanation-

Required sum

$\sf {= ( {3x}^{2} - \frac{1}{5} x + \frac{7}{3} ) + ( - \frac{1}{4} {x}^{2} + \frac{1}{3} x - \frac{1}{6} ) + ( - 2 {x}^{2} - \frac{1}{2} x + 5)}$

Now, collecting all the like terms.

$\sf { = 3 {x}^{2} - \frac{1}{4} {x}^{2} - 2 {x}^{2} - \frac{1}{5} x - \frac{1}{2} x + ( \frac{7}{3} - \frac{1}{6} + 5)}$

Then, adding the like terms.

$\sf { = (3 - \frac{1}{4} - 2) {x}^{2} + ( - \frac{1 }{5} + \frac{1}{3} - \frac{1}{2} )x + ( \frac{7}{3} - \frac{1}{6} + 5)}$

$\sf { = ( \frac{12 - 1 - 8}{4} ) {x}^{2} + ( \frac{ - 6 + 10 - 15}{30} )x + ( \frac{14 - 1 + 30}{6} )}$

$\sf { = \frac{3}{4} {x}^{2} - \frac{11}{30} x + \frac{43}{6} \: \: \: ans...}$

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Additionally-

Before learning algebraic expression you have to know what is constants and variables.

• Constant - A symbol having fixed numerical value is called a constant. Ex - 7, 9, -3 etc.

• Variable - A symbol which takes various numeric values is known as a variable. Ex - x, y, z , b etc.

• Algebraic expression - A combination of constants and variables connected by some or all of the four fundamental operations +, - , × , ÷ is called an algebraic expression.