factor x^2-(3y+2)^2 — step-by-step solution

Let's factorize in

ℝ

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

For

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

, we recognize a difference of two squares:

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

. Apply

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

, with

a = x

and

b = 3 y + 2

You can write the expression:

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

in factored form:

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

Let's factor in

ℝ

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

ⓘ A minus sign before a parenthesis changes the sign of each of its terms:

- (3 y + 2)

- 3 y - 2

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

▶Factored expression:

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