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

The solution to factor (x^2+2xy+y^2)-z^2 is (x+y+z)(x+y-z)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

factor (x^2+2xy+y^2)-z^2

factor

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

(x + y + z) (x + y - z)

Solution steps

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

Factor

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

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

Apply Difference of Two Squares Formula:

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

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

= ((x + y) + z) ((x + y) - z)

Apply rule:

(a) = a

(x + y) = x + y

= (x + y + z) (x + y - z)

sec^{2} (x + y) + \frac{csc ^{2} ( 2 x + 2 y )}{3}

(6) x^{3} + y^{3} - 3 x y + 1

\frac{( c ) 1}{( 5 + 2 )}

(3 x^{6} + 5 x^{2} - 2 x^{2} - 1) (x^{2} - 2)

a^{2} - 6 a + 6 b - b^{2}

What is factor (x^2+2xy+y^2)-z^2 ?
The solution to factor (x^2+2xy+y^2)-z^2 is (x+y+z)(x+y-z)