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

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

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

factor

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

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

Solution steps

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

Write in the standard form

a x^{2} + b x + c

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

Rewrite

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

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

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

Apply Perfect Square Formula:

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

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

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

\frac{x ^{2} - 7 x - 8}{x - 8}

A e^{(b x)}

4 a c - 3 b d + b c - 12 a d

- 4 (a)^{2}

2 x h + 2 x c + 4 x^{2} + c h

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