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

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

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

factor

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

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

Solution steps

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

Break the expression into groups

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

Factor out

(x + 2 y)

from

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

Factor out

- 3

from

- 3 (x + 2 y) - 3 : - 3 ((x + 2 y) + 1)

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

Factor out common term

(x + 2 y) + 1

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

Refine

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

e^{{a - b}}

n \cdot \frac{1}{e ^{2 n}}

(c - d)^{3} - (a - 2 b)^{3}

1 + a x^{- 1} + b x^{- 2}

\frac{d}{d t} (a t^{2} e^{t} + 5 t)

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