What is factor 6x^5y^3-21x^2y^8 ?

The solution to factor 6x^5y^3-21x^2y^8 is 3x^2y^3(2x^3-7y^5)

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factor 6x^5y^3-21x^2y^8

factor

6 x^{5} y^{3} - 21 x^{2} y^{8}

3 x^{2} y^{3} (2 x^{3} - 7 y^{5})

Solution steps

6 x^{5} y^{3} - 21 x^{2} y^{8}

Apply exponent rule:

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

x^{5} y^{3} = x^{2} x^{3} y^{3}, x^{2} y^{8} = x^{2} y^{3} y^{5}

= 6 x^{2} x^{3} y^{3} - 21 x^{2} y^{3} y^{5}

Rewrite

- 21

7 \cdot 3

Rewrite

6

2 \cdot 3

= 2 \cdot 3 x^{2} x^{3} y^{3} + 7 \cdot 3 x^{2} y^{3} y^{5}

Factor out common term

3 x^{2} y^{3}

= 3 x^{2} y^{3} (2 x^{3} - 7 y^{5})

r^{2} - 3 r - 18 = 0

4 x^{2} - 7 x + 3

- 8 < - 4 x \leq 12

16 t^{2} - 25 s^{2}

\frac{4}{7} x + \frac{6}{7} = - \frac{2}{7}

What is factor 6x^5y^3-21x^2y^8 ?
The solution to factor 6x^5y^3-21x^2y^8 is 3x^2y^3(2x^3-7y^5)