What is factor x^2-2xy+y^2-36 ?

The solution to factor x^2-2xy+y^2-36 is (x-y+6)(x-y-6)

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factor x^2-2xy+y^2-36

factor

x^{2} - 2 x y + y^{2} - 36

(x - y + 6) (x - y - 6)

Solution steps

x^{2} - 2 x y + y^{2} - 36

Factor

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

= (x - y)^{2} - 36

Factor the number:

36 = 6^{2}

= (x - y)^{2} - 6^{2}

Apply Difference of Two Squares Formula:

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

(x - y)^{2} - 6^{2} = ((x - y) + 6) ((x - y) - 6)

= ((x - y) + 6) ((x - y) - 6)

Remove parentheses:

(a) = a

= (x - y + 6) (x - y - 6)

30 x^{2} + 21 x + 3 = 0

2 x + 32 \leq 42

\frac{x}{5} = 2 + \frac{x + 2}{2}

2 x^{2} + 17 x + 21 \leq 0

\frac{1}{2} + \frac{1}{3} + 1 \leq 2 \cdot 1

What is factor x^2-2xy+y^2-36 ?
The solution to factor x^2-2xy+y^2-36 is (x-y+6)(x-y-6)