What is factor 9(2x-3)^2-3(3-2x)-6 ?

The solution to factor 9(2x-3)^2-3(3-2x)-6 is 6(x-1)(6x-11)

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factor 9(2x-3)^2-3(3-2x)-6

factor

9 (2 x - 3)^{2} - 3 (3 - 2 x) - 6

6 (x - 1) (6 x - 11)

Solution steps

9 (2 x - 3)^{2} - 3 (3 - 2 x) - 6

Factor out common term

3 : 3 (3 (2 x - 3)^{2} - (3 - 2 x) - 2)

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

Expand

3 (2 x - 3)^{2} - (3 - 2 x) - 2 : 12 x^{2} - 34 x + 22

= 3 (12 x^{2} - 34 x + 22)

Factor

12 x^{2} - 34 x + 22 : 2 (x - 1) (6 x - 11)

= 3 \cdot 2 (x - 1) (6 x - 11)

Multiply the numbers:

3 \cdot 2 = 6

= 6 (x - 1) (6 x - 11)

∣ 1 - 5 x ∣ + 5 \geq 7

x^{2} + 98 = 0

\frac{1}{x - 7} + \frac{1}{x + 2} \geq \frac{2 x}{x ^{2} + x - 2}

4^{1}

T + 3 \frac{T}{2} + \frac{( T + 2 )}{2} T = 4 T^{2}

What is factor 9(2x-3)^2-3(3-2x)-6 ?
The solution to factor 9(2x-3)^2-3(3-2x)-6 is 6(x-1)(6x-11)