What is factor 100x^4-60x^2y+9y^2 ?

The solution to factor 100x^4-60x^2y+9y^2 is (10x^2-3y)^2

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factor 100x^4-60x^2y+9y^2

factor

100 x^{4} - 60 x^{2} y + 9 y^{2}

(10 x^{2} - 3 y)^{2}

Solution steps

100 x^{4} - 60 x^{2} y + 9 y^{2}

Break the expression into groups

= (100 x^{4} - 30 x^{2} y) + (- 30 x^{2} y + 9 y^{2})

Factor out

10 x^{2}

from

100 x^{4} - 30 x^{2} y : 10 x^{2} (10 x^{2} - 3 y)

Factor out

- 3 y

from

- 30 x^{2} y + 9 y^{2} : - 3 y (10 x^{2} - 3 y)

= 10 x^{2} (10 x^{2} - 3 y) - 3 y (10 x^{2} - 3 y)

Factor out common term

10 x^{2} - 3 y

= (10 x^{2} - 3 y) (10 x^{2} - 3 y)

Apply exponent rule:

aa = a^{2}

(10 x^{2} - 3 y) (10 x^{2} - 3 y) = (10 x^{2} - 3 y)^{2}

= (10 x^{2} - 3 y)^{2}

(x - 4)^{2} = (x + 2) (x - 6)

1 + 0.4 x - 0.45 x^{2} = 0

2 (x + 2) - 3 (5 - x) = x + 5 (x - 3)

12 \cdot \frac{1}{2}

(2 x - 4)^{2} = 23

What is factor 100x^4-60x^2y+9y^2 ?
The solution to factor 100x^4-60x^2y+9y^2 is (10x^2-3y)^2