x=13i so x-13i is the factor. x=-13i so x+13i is the factor. x=5-10i s0 x-5+10i is the factor. x=5+10i so x-5-10i is the factor.

You can multiply the factors together in any way, but generally it's best to multiply the factors based on the like roots together. (x-13i)(x+13i)(x-5+10i)(x-5-10i). Usually this solution is sufficient. But you can multiply the factors.

(x-13i)(x+13i) = x^2 +169. The detailed explanation is after the problem solution. Remember i^2 = -1.

(x-5+10i)(x-5-10i)=x^2 -10x +125

The two factors remaining are those answers (x^2 +169)(x^2 -10x +125)= x^4 -10x^3 +294x^2 -1690x +21125

Hope the solution helped. Sometimes you need more than a solution. Contact fcabanski@hotmail.com for online, private tutoring, or personalized problem solving (quick for groups of problems.)

Solved by pluggable solver: EXPLAIN simplification of an expression

Your Result: YOUR ANSWER Graphical form: simplifies to Text form: (x-13i)*(x+13i) simplifies to x^2-169*i^2 Cartoon (animation) form: For tutors: simplify_cartoon( (x-13i)*(x+13i) ) If you have a website, here's a link to this solution. DETAILED EXPLANATION Look at . Expanded term by using associative property on It becomes . Look at . Expanded term by using associative property on It becomes . Look at . Reduce similar several occurrences of to It becomes . Look at . Expanded term by using associative property on It becomes . Look at . Multiplied numerator integers It becomes . Look at . Reduce similar several occurrences of to It becomes . Look at . Eliminated similar terms , replacing them with It becomes . Look at . Since has zero as a factor, it should be replaced with a zero Look at . Added fractions or integers together It becomes . Look at . Remove extraneous zero It becomes . Result: Universal Simplifier and Solver Done!

Solved by pluggable solver: EXPLAIN simplification of an expression

Your Result: YOUR ANSWER Graphical form: simplifies to Text form: (x-5+10i)*(x-5-10i) simplifies to x^2-10*x-100*i^2+25 Cartoon (animation) form: For tutors: simplify_cartoon( (x-5+10i)*(x-5-10i) ) If you have a website, here's a link to this solution. DETAILED EXPLANATION Look at . Moved to the right of expression It becomes . Look at . Moved to the right of expression It becomes . Look at . Expanded term by using associative property on It becomes . Look at . Expanded term by using associative property on It becomes . Look at . Reduce similar several occurrences of to It becomes . Look at . Expanded term by using associative property on It becomes . Look at . Multiplied numerator integers It becomes . Look at . Multiplied numerator integers It becomes . Look at . Reduce similar several occurrences of to It becomes . Look at . Eliminated similar terms , replacing them with It becomes . Look at . Since has zero as a factor, it should be replaced with a zero Look at . Added fractions or integers together It becomes . Look at . Remove extraneous zero It becomes . Look at . Expanded term by using associative property on It becomes . Look at . Multiplied numerator integers It becomes . Look at . Multiplied numerator integers It becomes . Look at . Eliminated similar terms , replacing them with It becomes . Look at . Eliminated similar terms , replacing them with It becomes . Look at . Added fractions or integers together It becomes . Look at . Since has zero as a factor, it should be replaced with a zero Look at . Added fractions or integers together It becomes . Look at . Remove extraneous zero It becomes . Look at . Removed extra sign in front of It becomes . Look at . Remove unneeded parentheses around factor It becomes . Result: Universal Simplifier and Solver Done!

Solved by pluggable solver: EXPLAIN simplification of an expression

Your Result: YOUR ANSWER Graphical form: simplifies to Text form: (x^2+169)*(x^2-10x+125) simplifies to x^(4)-x^(3)*10+294*x^2-1690*x+21125 Cartoon (animation) form: For tutors: simplify_cartoon( (x^2+169)*(x^2-10x+125) ) If you have a website, here's a link to this solution. DETAILED EXPLANATION Look at . Expanded term by using associative property on It becomes . Look at . Expanded term by using associative property on It becomes . Look at . Reduce similar several occurrences of to It becomes . Look at . Reduce similar several occurrences of to It becomes . Look at . Added fractions or integers together It becomes . Look at . Added fractions or integers together It becomes . Look at . Expanded term by using associative property on It becomes . Look at . Multiplied numerator integers It becomes . Look at . Multiplied numerator integers It becomes . Look at . Eliminated similar terms , replacing them with It becomes . Look at . Added fractions or integers together It becomes . Look at . Remove unneeded parentheses around factor It becomes . Result: Universal Simplifier and Solver Done!