What is factor (3x-y)^2-12(3x-y)+36 ?

The solution to factor (3x-y)^2-12(3x-y)+36 is (3x-y-6)^2

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factor (3x-y)^2-12(3x-y)+36

factor

(3 x - y)^{2} - 12 (3 x - y) + 36

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

Solution steps

(3 x - y)^{2} - 12 (3 x - y) + 36

Rewrite

(3 x - y)^{2} - 12 (3 x - y) + 36

(3 x - y)^{2} - 2 (3 x - y) \cdot 6 + 6^{2}

= (3 x - y)^{2} - 2 (3 x - y) \cdot 6 + 6^{2}

Apply Perfect Square Formula:

(a - b)^{2} = a^{2} - 2 ab + b^{2}

a = (3 x - y), b = 6

= ((3 x - y) - 6)^{2}

Refine

= (3 x - y - 6)^{2}

x^{4 - 1}

5 + 5 i

mn + m p + 2 n + 2 p

3 cos^{2} (x) + cos (x) - 4

(x^{3} + 2 x) + (- x^{2} + 4)

What is factor (3x-y)^2-12(3x-y)+36 ?
The solution to factor (3x-y)^2-12(3x-y)+36 is (3x-y-6)^2