What is factor (3x^2-4x-1)^2-(x^2-7x-2)^2 ?

The solution to factor (3x^2-4x-1)^2-(x^2-7x-2)^2 is (4x+1)(x-3)(2x+1)(x+1)

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factor (3x^2-4x-1)^2-(x^2-7x-2)^2

factor

(3 x^{2} - 4 x - 1)^{2} - (x^{2} - 7 x - 2)^{2}

(4 x + 1) (x - 3) (2 x + 1) (x + 1)

Solution steps

(3 x^{2} - 4 x - 1)^{2} - (x^{2} - 7 x - 2)^{2}

Apply Difference of Two Squares Formula:

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

(3 x^{2} - 4 x - 1)^{2} - (x^{2} - 7 x - 2)^{2} = ((3 x^{2} - 4 x - 1) + (x^{2} - 7 x - 2)) ((3 x^{2} - 4 x - 1) - (x^{2} - 7 x - 2))

= ((3 x^{2} - 4 x - 1) + (x^{2} - 7 x - 2)) ((3 x^{2} - 4 x - 1) - (x^{2} - 7 x - 2))

Simplify

((3 x^{2} - 4 x - 1) + (x^{2} - 7 x - 2)) ((3 x^{2} - 4 x - 1) - (x^{2} - 7 x - 2)) : (4 x^{2} - 11 x - 3) (2 x^{2} + 3 x + 1)

= (4 x^{2} - 11 x - 3) (2 x^{2} + 3 x + 1)

Factor

4 x^{2} - 11 x - 3 : (4 x + 1) (x - 3)

Factor

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

= (4 x + 1) (x - 3) (2 x + 1) (x + 1)

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

m + 8 > 10

8 - 2 x \leq 46

20 \cdot 2

\frac{8 x ^{2} y}{4 x}

What is factor (3x^2-4x-1)^2-(x^2-7x-2)^2 ?
The solution to factor (3x^2-4x-1)^2-(x^2-7x-2)^2 is (4x+1)(x-3)(2x+1)(x+1)