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## Answers

*2x3+2=2(x+1)(x2−x+1)*

*Explanation*

*Step 1 :*

*After factoring out 2 we have:*

*2x3+2=2(x3+1)*

*Step 2 :*

*To factor x*

*3+1 we can use sum of cubes formula:*

*I*

*3−I*

*I*

*3=(I+II)(I2−I⋅II+II2)*

*After putting I=x and II=1 , we have:*

*x^3+1=(x+1)(x^2−x+1)*