Question

One of the factors of the expression x4 + 2x2 + 9​

Answer 1

Answer:

Correct option is

A

(x

2

−2x+3)(x

2

+2x+3)

Given equation is x

4

+2x

2

+9

We can rewrite this as,

(x

2

)

2

+6x

2

+9−4x

2

⇒(x

2

+3)

2

−(2x)

2

....Since a

2

+2ab+b

2

=(a+b)

2

⇒ x

4

+2x

2

+9=(x

2

−2x+3)(x

2

+2x+3) ....Since a

2

−b

2

=(a+b)(a−b)

Answer 2

Answer

x⁴+2x²+9

(x²)²+6x+9-4x²

(x²+3)²-(2x²) ...since a²+2ab+b²=(a+b)²

x⁴+2x²+9=(x²-2x+3)(x²+2x+3)...since(a+b)(a-b)=a²-b²

I HOPE ITS HELP YOU