What is factor 5+9x^2-30 ?

The solution to factor 5+9x^2-30 is (3x+5)(3x-5)

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factor 5+9x^2-30

factor

5 + 9 x^{2} - 30

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

Solution steps

5 + 9 x^{2} - 30

Group like terms

= 9 x^{2} + 5 - 30

Add/Subtract the numbers:

5 - 30 = - 25

= 9 x^{2} - 25

Rewrite

9 x^{2} - 25

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

= (3 x)^{2} - 5^{2}

Apply Difference of Two Squares Formula:

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

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

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

+ \infty \cdot (- \infty)

d (e^{x})

(x + 3)^{2} + 12 x

[t - t a] - \frac{d t}{d t}

4 \times 5 - 6 \times 4 + 2 \times 3 - 3