What is factor (4x^3y^2)+(4xy^6) ?

The solution to factor (4x^3y^2)+(4xy^6) is 4xy^2(x^2+y^4)

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factor (4x^3y^2)+(4xy^6)

factor

(4 x^{3} y^{2}) + (4 x y^{6})

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

Solution steps

(4 x^{3} y^{2}) + (4 x y^{6})

Remove parentheses:

(a) = a

= 4 x^{3} y^{2} + 4 x y^{6}

Apply exponent rule:

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

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

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

Factor out common term

4 x y^{2}

= 4 x y^{2} (x^{2} + y^{4})

2 x^{3} - 4 x^{3}

[x (y r)]

3 + (- 4)

\frac{x ^{2} + 6 x - 27}{x - 3}

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

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