What is factor 0.25a^6b^2-0.6a^4b^4+0.36a^2b^6 ?

The solution to factor 0.25a^6b^2-0.6a^4b^4+0.36a^2b^6 is a^2b^2(0.25a^4-0.6a^2b^2+0.36b^4)

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factor 0.25a^6b^2-0.6a^4b^4+0.36a^2b^6

factor

0.25 a^{6} b^{2} - 0.6 a^{4} b^{4} + 0.36 a^{2} b^{6}

a^{2} b^{2} (0.25 a^{4} - 0.6 a^{2} b^{2} + 0.36 b^{4})

Solution steps

0.25 a^{6} b^{2} - 0.6 a^{4} b^{4} + 0.36 a^{2} b^{6}

Apply exponent rule:

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

a^{6} b^{2} = a^{2} a^{4} b^{2}, a^{4} b^{4} = a^{2} a^{2} b^{2} b^{2}, a^{2} b^{6} = a^{2} b^{2} b^{4}

= 0.25 a^{2} a^{4} b^{2} - 0.6 a^{2} a^{2} b^{2} b^{2} + 0.36 a^{2} b^{2} b^{4}

Factor out common term

a^{2} b^{2}

= a^{2} b^{2} (0.25 a^{4} - 0.6 a^{2} b^{2} + 0.36 b^{4})

2 x^{2} - 12 x + 18 = 0

x^{2} = 54

- 2 - 9 x \geq - 2 + 10 x

x^{2} - 6 x = - 18

6 x^{2} - 5 x - 6 \geq 0

What is factor 0.25a^6b^2-0.6a^4b^4+0.36a^2b^6 ?
The solution to factor 0.25a^6b^2-0.6a^4b^4+0.36a^2b^6 is a^2b^2(0.25a^4-0.6a^2b^2+0.36b^4)