What is factor 4x^3y^6+22x^2y^7 ?

The solution to factor 4x^3y^6+22x^2y^7 is 2x^2y^6(2x+11y)

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factor 4x^3y^6+22x^2y^7

factor

4 x^{3} y^{6} + 22 x^{2} y^{7}

2 x^{2} y^{6} (2 x + 11 y)

Solution steps

4 x^{3} y^{6} + 22 x^{2} y^{7}

Apply exponent rule:

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

x^{3} y^{6} = x^{2} x y^{6}, x^{2} y^{7} = x^{2} y^{6} y

= 4 x^{2} x y^{6} + 22 x^{2} y^{6} y

Rewrite

22

11 \cdot 2

Rewrite

4

2 \cdot 2

= 2 \cdot 2 x^{2} x y^{6} + 11 \cdot 2 x^{2} y^{6} y

Factor out common term

2 x^{2} y^{6}

= 2 x^{2} y^{6} (2 x + 11 y)

x^{3} - 11 x^{2} + 36 x - 36

3 x^{2} (y^{3})^{2} x^{4}

10 x^{2} - 148 x + 490

\frac{1 - 0.99}{2}

\frac{3}{x} + \frac{2}{x ^{2}}

What is factor 4x^3y^6+22x^2y^7 ?
The solution to factor 4x^3y^6+22x^2y^7 is 2x^2y^6(2x+11y)