What is factor-9a^4+6a^3-3a^2 ?

The solution to factor-9a^4+6a^3-3a^2 is 3a^2(-3a^2+2a-1)

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factor-9a^4+6a^3-3a^2

factor

- 9 a^{4} + 6 a^{3} - 3 a^{2}

3 a^{2} (- 3 a^{2} + 2 a - 1)

Solution steps

- 9 a^{4} + 6 a^{3} - 3 a^{2}

Apply exponent rule:

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

a^{3} = a a^{2}

= - 9 a^{2} a^{2} + 6 a a^{2} - 3 a^{2}

Rewrite

9

3 \cdot 3

Rewrite

6

3 \cdot 2

= - 3 \cdot 3 a^{2} a^{2} + 3 \cdot 2 a a^{2} - 3 \cdot 1 \cdot a^{2}

Factor out common term

3 a^{2}

= 3 a^{2} (- 3 a^{2} + 2 a - 1)

216 b^{2} - 150

5 x^{2} + 9 x + 4

6 x^{2} + 17 x - 14

2 - 18 x^{2}

32 - (5 + x) = 20

What is factor-9a^4+6a^3-3a^2 ?
The solution to factor-9a^4+6a^3-3a^2 is 3a^2(-3a^2+2a-1)