What is factor 5x^3y^2+10x^2y+25x ?

The solution to factor 5x^3y^2+10x^2y+25x is 5x(x^2y^2+2xy+5)

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factor 5x^3y^2+10x^2y+25x

factor

5 x^{3} y^{2} + 10 x^{2} y + 25 x

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

Solution steps

5 x^{3} y^{2} + 10 x^{2} y + 25 x

Apply exponent rule:

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

x^{3} y^{2} = x x^{2}, x^{2} y = xx

= 5 x x^{2} + 10 xx + 25 x

Rewrite

25

5 \cdot 5

Rewrite

10

2 \cdot 5

= 5 x x^{2} + 2 \cdot 5 xx + 5 \cdot 5 x

Factor out common term

5 x

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

2 x^{2} + 4 x - 7 = 0

36 + 12 m^{2} + m^{4}

6 (x - 5) = 60

y^{2} - 4 yz + 4 z^{2}

3 x^{2} - 5 x = 2

What is factor 5x^3y^2+10x^2y+25x ?
The solution to factor 5x^3y^2+10x^2y+25x is 5x(x^2y^2+2xy+5)