factor x^2+4x-5 — step-by-step solution

⚠ 4x is read as the product 4*x: for a power, write 4^x

Let's factorize in

ℝ

x^{2} + 4 x - 5

You can transform this expression into:

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

We recognize a difference of two squares:

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

. Apply

a^{2} - b^{2} = (a - b) \cdot (a + b)

, with

a = x + 2

and

b = 3

You can write the expression in factored form:

((x + 2) - 3) \cdot ((x + 2) + 3)

ℹ

2 - 3

-1

‖

2 + 3

5

(x - 1) \cdot (x + 5)

▶Factored expression:

(x + 5) \cdot (x - 1)