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

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

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

factor

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

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

Solution steps

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

Break the expression into groups

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

Factor out

10 x^{2}

from

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

Factor out

- 3 z

from

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

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

Factor out common term

10 x^{2} - 3 z

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

Apply exponent rule:

aa = a^{2}

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

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

\frac{2 x ^{3} y ^{4}}{x ^{5} y ^{3}}

2 k - 4 > - 6 k - 7

6 x^{2} - 12 x y + 16 x - 32 y

9 b^{2} + 54 b + 80

x - \frac{3}{x} < - 2

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