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Popular >

factor 3x^5-15x^2y^2

Solution

factor

3 x^{5} - 15 x^{2} y^{2}

Solution

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

Solution steps

3 x^{5} - 15 x^{2} y^{2}

Apply exponent rule:

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

x^{5} = x^{2} x^{3}

= 3 x^{2} x^{3} - 15 x^{2} y^{2}

Rewrite

- 15

as

5 \cdot 3

= 3 x^{2} x^{3} + 5 \cdot 3 x^{2} y^{2}

Factor out common term

3 x^{2}

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

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Frequently Asked Questions (FAQ)

What is factor 3x^5-15x^2y^2 ?
The solution to factor 3x^5-15x^2y^2 is 3x^2(x^3-5y^2)