Question

Factor the polynomial expression x4 + 18x2 + 81

Answer 1

Answer: $(x^2+9)^2$

Step-by-step explanation:

Rewrite it in the form $a^2+2ab+b^2$ , where $a=x^2 and b=9.$

$(x^2)^2+2(x^2)(9)+9^2$

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

$(x^2+9)^2$