What is sqrt((x^2-5x+6)^3) ?

The solution to sqrt((x^2-5x+6)^3) is (x^2-5x+6)sqrt(x^2-5x+6)

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simplify sqrt((x^2-5x+6)^3)

simplify

(x^{2} - 5 x + 6)^{3}

(x^{2} - 5 x + 6) x^{2} - 5 x + 6

Solution steps

(x^{2} - 5 x + 6)^{3}

Apply exponent rule:

a^{b + c} = a^{b} \cdot a^{c}

(x^{2} - 5 x + 6)^{2 + 1} = (x^{2} - 5 x + 6)^{2} (x^{2} - 5 x + 6)

= (x^{2} - 5 x + 6)^{2} (x^{2} - 5 x + 6)

Apply radical rule:

ab = a b,

assuming

a \geq 0, b \geq 0

(x^{2} - 5 x + 6)^{2} (x^{2} - 5 x + 6) = (x^{2} - 5 x + 6)^{2} x^{2} - 5 x + 6

= (x^{2} - 5 x + 6)^{2} x^{2} - 5 x + 6

Apply radical rule:

a^{2} = a,

assuming

a \geq 0

(x^{2} - 5 x + 6)^{2} = x^{2} - 5 x + 6

= (x^{2} - 5 x + 6) x^{2} - 5 x + 6

= x^{2} - 5 x + 6 (x^{2} - 5 x + 6)

= (x^{2} - 5 x + 6) x^{2} - 5 x + 6

5 x^{2} + 15 x - 10

25 + 10 x y + x^{2} y^{2}

lo g_{2} (3 - 1)

x^{3} + x y^{4}

(2 x - 3) (3 x - 2)

What is sqrt((x^2-5x+6)^3) ?
The solution to sqrt((x^2-5x+6)^3) is (x^2-5x+6)sqrt(x^2-5x+6)