What is factor x^4-4x^{n2} ?

The solution to factor x^4-4x^{n2} is (x^2+2x^n)(x^2-2x^n)

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factor x^4-4x^{n2}

factor

x^{4} - 4 x^{n 2}

(x^{2} + 2 x^{n}) (x^{2} - 2 x^{n})

Solution steps

x^{4} - 4 x^{n \cdot 2}

Rewrite

4 x^{n 2}

(2 x^{1 n})^{2}

= x^{4} - (2 x^{1 \cdot n})^{2}

Apply exponent rule:

a^{b c} = (a^{b})^{c}

x^{4} = (x^{2})^{2}

= (x^{2})^{2} - (2 x^{1 n})^{2}

Apply Difference of Two Squares Formula:

x^{2} - y^{2} = (x + y) (x - y)

(x^{2})^{2} - (2 x^{1 n})^{2} = (x^{2} + 2 x^{1 n}) (x^{2} - 2 x^{1 n})

= (x^{2} + 2 x^{1 n}) (x^{2} - 2 x^{1 n})

Refine

= (x^{2} + 2 x^{n}) (x^{2} - 2 x^{n})

34 - 12 i

x + y - z

(arctan (8 x))^{2}

x (2.4)

30 m^{2} - 6 m^{6}

What is factor x^4-4x^{n2} ?
The solution to factor x^4-4x^{n2} is (x^2+2x^n)(x^2-2x^n)