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Factor the expression completly over the complex numbers x^4+10x^2+25

User Toru
by
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1 Answer

2 votes

Answer:

Rewrite it in the form {a}^{2}+2ab+{b}^{2}a

​2

​​ +2ab+b

​2

​​ , where a={x}^{2}a=x

​2

​​ and b=5b=5.

{({x}^{2})}^{2}+2({x}^{2})(5)+{5}^{2}(x

​2

​​ )

​2

​​ +2(x

​2

​​ )(5)+5

​2

​​

2 Use Square of Sum: {(a+b)}^{2}={a}^{2}+2ab+{b}^{2}(a+b)

​2

​​ =a

​2

​​ +2ab+b

​2

​​ .

{({x}^{2}+5)}^{2}(x

(x^2 + 5)^ 2

​​

Explanation:

User Abhimuralidharan
by
4.8k points