What is factor 12x^2y^7-9x^5y^2+6x^4y^3 ?

The solution to factor 12x^2y^7-9x^5y^2+6x^4y^3 is 3x^2y^2(4y^5-3x^3+2x^2y)

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factor 12x^2y^7-9x^5y^2+6x^4y^3

factor

12 x^{2} y^{7} - 9 x^{5} y^{2} + 6 x^{4} y^{3}

3 x^{2} y^{2} (4 y^{5} - 3 x^{3} + 2 x^{2} y)

Solution steps

12 x^{2} y^{7} - 9 x^{5} y^{2} + 6 x^{4} y^{3}

Apply exponent rule:

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

x^{2} y^{7} = x^{2} y^{2} y^{5}, x^{5} y^{2} = x^{2} x^{3} y^{2}, x^{4} y^{3} = x^{2} x^{2} y^{2} y

= 12 x^{2} y^{2} y^{5} - 9 x^{2} x^{3} y^{2} + 6 x^{2} x^{2} y^{2} y

Rewrite

6

2 \cdot 3

Rewrite

- 9

3 \cdot 3

= 4 \cdot 3 x^{2} y^{2} y^{5} + 3 \cdot 3 x^{2} x^{3} y^{2} + 2 \cdot 3 x^{2} x^{2} y^{2} y

Factor out common term

3 x^{2} y^{2}

= 3 x^{2} y^{2} (4 y^{5} - 3 x^{3} + 2 x^{2} y)

sec (x) cot (x) sin (x)

(2 x + 3) + (5 x - 8)

a a a

\frac{sec ^{2} ( θ )}{tan ^{2} ( θ )}

2 x^{3} + 4 x^{2} + 2 x

What is factor 12x^2y^7-9x^5y^2+6x^4y^3 ?
The solution to factor 12x^2y^7-9x^5y^2+6x^4y^3 is 3x^2y^2(4y^5-3x^3+2x^2y)