What is factor 36x^6y^5-21x^8y^4+6x^5y^2 ?

The solution to factor 36x^6y^5-21x^8y^4+6x^5y^2 is 3x^5y^2(12xy^3-7x^3y^2+2)

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factor 36x^6y^5-21x^8y^4+6x^5y^2

factor

36 x^{6} y^{5} - 21 x^{8} y^{4} + 6 x^{5} y^{2}

3 x^{5} y^{2} (12 x y^{3} - 7 x^{3} y^{2} + 2)

Solution steps

36 x^{6} y^{5} - 21 x^{8} y^{4} + 6 x^{5} y^{2}

Apply exponent rule:

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

x^{6} y^{5} = x^{5} x y^{2} y^{3}, x^{8} y^{4} = x^{5} x^{3} y^{2} y^{2}

= 36 x^{5} x y^{2} y^{3} - 21 x^{5} x^{3} y^{2} y^{2} + 6 x^{5} y^{2}

Rewrite

6

2 \cdot 3

Rewrite

- 21

7 \cdot 3

= 12 \cdot 3 x^{5} x y^{2} y^{3} + 7 \cdot 3 x^{5} x^{3} y^{2} y^{2} + 2 \cdot 3 x^{5} y^{2}

Factor out common term

3 x^{5} y^{2}

= 3 x^{5} y^{2} (12 x y^{3} - 7 x^{3} y^{2} + 2)

261

4 x^{2} - x + 1 = 0

\frac{2 + 3 i}{1 - i}

3 a^{2} + 16 a - 12

\frac{5}{3 x + 1} - \frac{20}{9 x ^{2} - 1} \leq \frac{2}{3 x - 1}

What is factor 36x^6y^5-21x^8y^4+6x^5y^2 ?
The solution to factor 36x^6y^5-21x^8y^4+6x^5y^2 is 3x^5y^2(12xy^3-7x^3y^2+2)