What is factor (x^3-9x)+(45-5x^2) ?

The solution to factor (x^3-9x)+(45-5x^2) is (x+3)(x-3)(x-5)

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factor (x^3-9x)+(45-5x^2)

factor

(x^{3} - 9 x) + (45 - 5 x^{2})

(x + 3) (x - 3) (x - 5)

Solution steps

(x^{3} - 9 x) + (45 - 5 x^{2})

Factor

x^{3} - 9 x : x (x + 3) (x - 3)

Factor

45 - 5 x^{2} : 5 (3 + x) (3 - x)

= x (x + 3) (x - 3) + 5 (3 + x) (3 - x)

5 (3 + x) (3 - x) = - 5 (3 + x) (x - 3)

= x (x + 3) (x - 3) - 5 (3 + x) (x - 3)

Factor out common term

(x + 3) (x - 3) : (x + 3) (x - 3) (x - 5)

= (x + 3) (x - 3) (x - 5)

(4 a)^{3}

(3 x - \frac{1}{2} y)^{3}

\frac{26}{25}

\frac{- 1}{∣ - 1 ∣}

x - 1 x - 1

What is factor (x^3-9x)+(45-5x^2) ?
The solution to factor (x^3-9x)+(45-5x^2) is (x+3)(x-3)(x-5)