Question

How do you simplify $17{x^2} - 5x - 9x + 5{x^2} - 12$

Answer 1

Hint: In order to solve this question we will first keep all the like terms all together then we will solve all these according to the sign convention that is given in question similarly we will put the second like term together with and solve it then we will solving the free term.

Complete step-by-step solution:
For solving this question we will put all the like terms together, putting like terms together means we will put all the square terms in x together then we will solve it according to the sign convention that is given in question then we will put all the terms that are in x together with and solve it according to the sign convention given in the question. At last we will put all the independent terms together and then we will solve it according to the sign convention given in question.
So according to the question:
$\Rightarrow 17{x^2} - 5x - 9x + 5{x^2} - 12$
Now we will arrange all the like terms together with:
$\Rightarrow \left( {17{x^2} + 5{x^2}} \right) - \left( {5x + 9x} \right) - \left( {12} \right)$
Now solving all these we will get:
$\Rightarrow 22{x^2} - 14x - 12$
So this will be our final simplified equation.

Therefore the final answer is $ 22{x^2} - 14x - 12$

Note: While solving these types of question we should keep in mind that for factorization we can also use the factorization method of this equation and the precaution which should be taken is that the factor made are correct and if there are some factors to be cancelled they it must be done.