What is factor 25y^2x^2+30yx^2+9x^2 ?

The solution to factor 25y^2x^2+30yx^2+9x^2 is x^2(5y+3)^2

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factor 25y^2x^2+30yx^2+9x^2

factor

25 y^{2} x^{2} + 30 y x^{2} + 9 x^{2}

x^{2} (5 y + 3)^{2}

Solution steps

25 y^{2} x^{2} + 30 y x^{2} + 9 x^{2}

Factor out common term

x^{2}

= x^{2} (25 y^{2} + 30 y + 9)

Factor

25 y^{2} + 30 y + 9 : (5 y + 3) (5 y + 3)

= x^{2} (5 y + 3) (5 y + 3)

Apply exponent rule:

aa = a^{2}

(5 y + 3) (5 y + 3) = (5 y + 3)^{2}

= x^{2} (5 y + 3)^{2}

3 x + 12 = - 6

7 x (x^{2} + y^{2}) - (x^{2} + y^{2}) - 3 y (x^{2} + y^{2})

2 x^{2} + 6 x - 20 = 0

- (\frac{7}{3})^{0}

- 4 x^{2} - 42 x - 98 = - 2 x - 2

What is factor 25y^2x^2+30yx^2+9x^2 ?
The solution to factor 25y^2x^2+30yx^2+9x^2 is x^2(5y+3)^2