# Factor solver

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Factor solver is a tool which is used to solving the factorization problem. It uses step by step philosophy and not only this it also helps in determining the value of unknown variable. Apart from this it is also used in various applications.  This tool basically uses mathematical factorization methods and also guides in using the right method at the different-different factorization problems.

Question 1:- Factor the following expression: - x^2 + 16x+ 63

Solution 1:- In this question given expression is x^2+ 16x + 63

This is basically a quadratic equation, so here we will us middle term splitting method, which is shown below

That is: - x^2 + 9x + 7x + 63

= x(x+9) + 7 (x+9)

= (x+9) (x+7)

So (x+9) (x+7) , this is the required solution and here we have used middle term splitting method.

Question 2:- Factor the following expression: - x^+ 25 x^2 +25 x+ 625

Solution 2:- In this question given expression is x^3 + 25x^2 + 25 x + 625

There is basically no common factor in above equation for all four terms.  But it is quite clear that there is some common factor between first and second term and also between third and fourth term. So we will take common accordingly

Therefore x^3 + 25x^2 + 25x + 625

= x^2 (x+ 25) + 25 (x+25)

Now we can see that (x+25) can be taken out

So x^3 + 25x^2 + 25x + 625= (x+25) (x^2 +25)