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

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

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

factor

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

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

Solution steps

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

Apply radical rule:

assuming

a \geq 0, b \geq 0

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

Apply exponent rule:

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

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

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

Apply radical rule:

assuming

a \geq 0

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

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

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t^{3} - 6 t^{2} + 4 t + t - 1

(0.5) sin (8 π t + 6)

12 5^{3} a - 8^{6} b

(2 x + 1) (4 x 2 - 2 x + 1)

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