What is factor 4(x-y)^2-12(x-y)+9 ?

The solution to factor 4(x-y)^2-12(x-y)+9 is (2(x-y)-3)^2

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factor 4(x-y)^2-12(x-y)+9

factor

4 (x - y)^{2} - 12 (x - y) + 9

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

Solution steps

4 (x - y)^{2} - 12 (x - y) + 9

Rewrite

4 (x - y)^{2} - 12 (x - y) + 9

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

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

Apply Perfect Square Formula:

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

a = 2 (x - y), b = 3

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

8 m^{3} + 4 m^{2} - n^{3} - n^{2}

a x + 2 b x + 4 b y + 2 a y

\frac{1}{2} x^{2} - 1

5 ln (9 cos (6 x) + 9)

r (20 π)

What is factor 4(x-y)^2-12(x-y)+9 ?
The solution to factor 4(x-y)^2-12(x-y)+9 is (2(x-y)-3)^2