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

The solution to factor (x+3)^2-(x-1)^2 is 8(x+1)

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factor (x+3)^2-(x-1)^2

factor

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

8 (x + 1)

Solution steps

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

Apply Difference of Two Squares Formula:

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

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

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

Simplify

((x + 3) + (x - 1)) ((x + 3) - (x - 1)) : (2 x + 2) \cdot 4

= (2 x + 2) \cdot 4

= 4 (2 x + 2)

Factor

2 x + 2 : 2 (x + 1)

= 4 \cdot 2 (x + 1)

Multiply the numbers:

4 \cdot 2 = 8

= 8 (x + 1)

14 x^{2} - 5 x - 1 = 0

- 2 (2 x + 9) > - 4 x + 9

x^{6} + 13 x^{3} + 30 = 0

(x) (1.06) (70000 - x) (1.085) = 70000 + 5000

(x + 9)^{2} (x + 4) (x - 1) > 0

What is factor (x+3)^2-(x-1)^2 ?
The solution to factor (x+3)^2-(x-1)^2 is 8(x+1)