What is factor (3x-y)^2-10(3x-y)+25 ?

The solution to factor (3x-y)^2-10(3x-y)+25 is (3x-y-5)^2

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factor (3x-y)^2-10(3x-y)+25

factor

(3 x - y)^{2} - 10 (3 x - y) + 25

(3 x - y - 5)^{2}

Solution steps

(3 x - y)^{2} - 10 (3 x - y) + 25

Rewrite

(3 x - y)^{2} - 10 (3 x - y) + 25

(3 x - y)^{2} - 2 (3 x - y) \cdot 5 + 5^{2}

= (3 x - y)^{2} - 2 (3 x - y) \cdot 5 + 5^{2}

Apply Perfect Square Formula:

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

a = (3 x - y), b = 5

= ((3 x - y) - 5)^{2}

Refine

= (3 x - y - 5)^{2}

a x + b x + a y + b y + a z + b z

(y^{2}) (y^{'} (t))

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

\frac{y ^{2} - 16}{y + 4}

5 s x - 30 x t - 2 sy + 12 t y

What is factor (3x-y)^2-10(3x-y)+25 ?
The solution to factor (3x-y)^2-10(3x-y)+25 is (3x-y-5)^2