Question

$( {12x}^{2} + 3xy) \div 3x$

Answer 1

HEY THERE!!!

Question:-

12x²+3xy÷ 3x

Method of Solution;-

$\implies \: \frac{12 {x}^{2} +3xy}{3x} \\ \\ \\ \\ \implies \: \frac{3x(4x + y)}{3x} \\ \\ \\ \implies \: \frac{ \cancel{3x}(4x + y)}{ \cancel{3x}} \\ \\ \\ \implies \: 4x + y$

Hence, Value of 12x²+3xy÷ 3x =4x+y

Answer 2

Hey there!

Given question is about simplifying the equation from the numerator and denominator, likewise additional explanations and rules are to be provided for a better understanding to reach the final solution; Here's the process.

$\bf{\dfrac{12x^2 + 3xy}{3x}}$

Factor out the equation in numerator;

Apply the exponential rule of variables on the numerator, that is;

$\bf{a^{b + c} = a^b a^c}$,  Here;  x^2 = xx.

$\bf{\therefore \quad \dfrac{12xx + 3xy}{3x}}$

Take out the common factor of "3" from the present equation;

$\bf{\dfrac{3 \times 4xx + 3xy}{3x}}$

Now, factor out the common term of joint variable value "3x":

$\bf{\therefore \quad \dfrac{3x(4x + y)}{3x}}$

Now, simply cancel out the common terms that is, divide the following numbers of "3" and variable "x" to obtain the final required answer;

$\boxed{\bf{\underline{\therefore \quad Final \: \: Answer = 4x + y}}}$

Which is the required answer for these types of queries.

Hope my answer helps you and solves your queries regarding simplification of given variables!!!!!!!!!!