What is factor 14x^2y^2-28x^5+56x^4 ?

The solution to factor 14x^2y^2-28x^5+56x^4 is 14x^2(y^2-2x^3+4x^2)

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factor 14x^2y^2-28x^5+56x^4

factor

14 x^{2} y^{2} - 28 x^{5} + 56 x^{4}

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

Solution steps

14 x^{2} y^{2} - 28 x^{5} + 56 x^{4}

Apply exponent rule:

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

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

= 14 x^{2} y^{2} - 28 x^{2} x^{3} + 56 x^{2} x^{2}

Rewrite

56

4 \cdot 14

Rewrite

- 28

2 \cdot 14

= 14 x^{2} y^{2} + 2 \cdot 14 x^{2} x^{3} + 4 \cdot 14 x^{2} x^{2}

Factor out common term

14 x^{2}

= 14 x^{2} (y^{2} - 2 x^{3} + 4 x^{2})

\frac{59}{44} - \frac{1}{2}

25 - 36 y^{2}

6 x - 8 \geq 40

6 x - 2 x + 8 = x + 5

2 (6 - w) + 2 w \geq 14

What is factor 14x^2y^2-28x^5+56x^4 ?
The solution to factor 14x^2y^2-28x^5+56x^4 is 14x^2(y^2-2x^3+4x^2)