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

The solution to factor (3x^2-x-6)^2-(2x^2-x+3)^2 is (5x+3)(x-1)(x+3)(x-3)

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

factor

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

(5 x + 3) (x - 1) (x + 3) (x - 3)

Solution steps

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

Apply Difference of Two Squares Formula:

x^{2} - y^{2} = (x + y) (x - y)

(3 x^{2} - x - 6)^{2} - (2 x^{2} - x + 3)^{2} = ((3 x^{2} - x - 6) + (2 x^{2} - x + 3)) ((3 x^{2} - x - 6) - (2 x^{2} - x + 3))

= ((3 x^{2} - x - 6) + (2 x^{2} - x + 3)) ((3 x^{2} - x - 6) - (2 x^{2} - x + 3))

Simplify

((3 x^{2} - x - 6) + (2 x^{2} - x + 3)) ((3 x^{2} - x - 6) - (2 x^{2} - x + 3)) : (5 x^{2} - 2 x - 3) (x^{2} - 9)

= (5 x^{2} - 2 x - 3) (x^{2} - 9)

Factor

5 x^{2} - 2 x - 3 : (5 x + 3) (x - 1)

Factor

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

= (5 x + 3) (x - 1) (x + 3) (x - 3)

4 x^{2} = x + 3

8 (x + 3) = 40

- 5.6 g = - 12.88

2 (2.1 z + 4.5) \leq 21.6

2! \cdot 3!

What is factor (3x^2-x-6)^2-(2x^2-x+3)^2 ?
The solution to factor (3x^2-x-6)^2-(2x^2-x+3)^2 is (5x+3)(x-1)(x+3)(x-3)