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

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

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factor (x^2+2x)-3

factor

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

(x - 1) (x + 3)

Solution steps

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

Remove parentheses:

(a) = a

= x^{2} + 2 x - 3

Break the expression into groups

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

Factor out

x

from

x^{2} - x : x (x - 1)

Factor out

3

from

3 x - 3 : 3 (x - 1)

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

Factor out common term

x - 1

= (x - 1) (x + 3)

4 sin (14 x - 20)

3 cos (100 x + 3) + 4 cos (100 x + 4)

x^{5} + x \frac{d}{d x} (7)

m^{2 a} n^{2 b} - 1

x + y - 2 (x - y)