What is factor 4y^2e^{2x}-2ye^{3x} ?

The solution to factor 4y^2e^{2x}-2ye^{3x} is 2e^{2x}y(2y-e^x)

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factor 4y^2e^{2x}-2ye^{3x}

factor

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

2 e^{2 x} y (2 y - e^{x})

Solution steps

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

Apply exponent rule:

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

y^{2} = yy, e^{3 x} = e^{2 x} e^{x}

= 4 yy e^{2 x} - 2 y e^{2 x} e^{x}

Rewrite as

= 2 \cdot 2 y e^{2 x} y - 2 y e^{2 x} e^{x}

Factor out common term

2 y e^{2 x}

= 2 y e^{2 x} (2 y - e^{x})

(x + 1)^{2} - 8 (x + 1) + 15

(m - n)^{3} - m^{3}

f (a) = a + 4

\frac{3}{x ^{2} - 16}

9 x^{8} + 4 8^{7} + 522 x^{6} + 264 x

What is factor 4y^2e^{2x}-2ye^{3x} ?
The solution to factor 4y^2e^{2x}-2ye^{3x} is 2e^{2x}y(2y-e^x)