What is factor 5x^4+10x^3-75x^2 ?

The solution to factor 5x^4+10x^3-75x^2 is 5x^2(x-3)(x+5)

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factor 5x^4+10x^3-75x^2

factor

5 x^{4} + 10 x^{3} - 75 x^{2}

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

Solution steps

5 x^{4} + 10 x^{3} - 75 x^{2}

Factor out common term

5 x^{2} : 5 x^{2} (x^{2} + 2 x - 15)

= 5 x^{2} (x^{2} + 2 x - 15)

Factor

x^{2} + 2 x - 15 : (x - 3) (x + 5)

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

2 cos (\frac{3 a}{2}) (cos^{2} (a) + sin^{2} (a))

3 cos (x) - 6 sin^{2} (t) (cos (t))

2 x \cdot 32

\frac{1}{( x ^{2} + y ^{2} )}

sin^{2} (x) + cos^{2} (x) + 3

What is factor 5x^4+10x^3-75x^2 ?
The solution to factor 5x^4+10x^3-75x^2 is 5x^2(x-3)(x+5)