What is factor 14x^2y^2-28x^3+56x^4 ?

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

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factor 14x^2y^2-28x^3+56x^4

factor

14 x^{2} y^{2} - 28 x^{3} + 56 x^{4}

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

Solution steps

14 x^{2} y^{2} - 28 x^{3} + 56 x^{4}

Apply exponent rule:

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

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

= 14 x^{2} y^{2} - 28 x^{2} x + 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 + 4 \cdot 14 x^{2} x^{2}

Factor out common term

14 x^{2}

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

3 x^{2} + 10 x + 5 = 0

9 a b^{2} - 6 a^{2} b

81 y^{2} - 225 x^{2}

0 \leq x \leq 2 π

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