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# Factoring Formulas

Factoring is nothing but breaking down a number or a polynomial into product of its factor which when multiplied together gives the original. Factoring Formulas help us to simplify the polynomial equation and find its solution.

Factoring Formula for sum/difference of two nth powers are,

 Related Calculators Algebra Factoring Calculator Factor Factor by Grouping Factor Tree

## Factoring Problems

Some solved problems on factoring are given below:

### Solved Examples

Question 1: Factorize x+ 49 ?
Solution:

The factoring formula for sum of two nth powers is,
a+ bn  = (a + b)(ban-1- ban-2 + ........ - bn-2 a+ bn-1 a0)
x2 + 49
= x2 + 72
= (x + 7)(x - 7)

Question 2: Factorize x- 8 ?
Solution:

The factoring formula for difference of two nth powers is,
a- bn = (a - b)(ban-1+ ban-2 + ........ + bn-2 a+ bn-1 a0)
x3 - 8
= x3 - 23
= (x - 2)(x2 + 2x + 4)

 More topics in Factoring Formulas Prime Number Formula Completing the Square Formula Factorial Formula Perfect Square Formula LCM Formula
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