What is factor 25e^{5xy}x^2y+10e^{5xy}x ?

The solution to factor 25e^{5xy}x^2y+10e^{5xy}x is 5e^{5xy}x(5xy+2)

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factor 25e^{5xy}x^2y+10e^{5xy}x

factor

25 e^{5 x y} x^{2} y + 10 e^{5 x y} x

5 e^{5 x y} x (5 x y + 2)

Solution steps

25 e^{5 x y} x^{2} y + 10 e^{5 x y} x

Apply exponent rule:

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

x^{2} = xx

= 25 e^{5 x y} xx y + 10 e^{5 x y} x

Rewrite as

= 5 \cdot 5 x e^{5 x y} x y + 2 \cdot 5 x e^{5 x y}

Factor out common term

5 x e^{5 x y}

= 5 x e^{5 x y} (5 x y + 2)

g^{2} - 12 g h + 35 h^{2}

x^{2} - 14 x + 31 = 0

3 a^{2} + 2 a - 5

3 < n and 5 < 32

\frac{4}{5} \cdot \frac{3}{11} \cdot \frac{1}{4}

What is factor 25e^{5xy}x^2y+10e^{5xy}x ?
The solution to factor 25e^{5xy}x^2y+10e^{5xy}x is 5e^{5xy}x(5xy+2)