What is factor sqrt((x+4)(x-2)^4) ?

The solution to factor sqrt((x+4)(x-2)^4) is (x-2)^2sqrt(x+4)

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factor sqrt((x+4)(x-2)^4)

factor

(x + 4) (x - 2)^{4}

(x - 2)^{2} x + 4

Solution steps

(x + 4) (x - 2)^{4}

Apply radical rule:

assuming

a \geq 0, b \geq 0

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

Apply exponent rule:

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

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

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

Apply radical rule:

assuming

a \geq 0

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

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

2 x^{4} - 16

196 c^{4} - 121 d^{6} e^{6}

(a + b + c) (ab + b c + a c) - ab c

e^{x - 4 t} + e^{x + 4 t}

2 ab c - 3 ab - 4 x c + 6 x

What is factor sqrt((x+4)(x-2)^4) ?
The solution to factor sqrt((x+4)(x-2)^4) is (x-2)^2sqrt(x+4)