What is factor (m-n)^2+4(m-n)+4 ?

The solution to factor (m-n)^2+4(m-n)+4 is (m-n+2)^2

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factor (m-n)^2+4(m-n)+4

factor

(m - n)^{2} + 4 (m - n) + 4

(m - n + 2)^{2}

Solution steps

(m - n)^{2} + 4 (m - n) + 4

Rewrite

(m - n)^{2} + 4 (m - n) + 4

(m - n)^{2} + 2 (m - n) \cdot 2 + 2^{2}

= (m - n)^{2} + 2 (m - n) \cdot 2 + 2^{2}

Apply Perfect Square Formula:

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

a = (m - n), b = 2

= ((m - n) + 2)^{2}

Refine

= (m + 2 - n)^{2}

760 + 0.5 (Y)

y^{2} + 2 y - 27

arccos (2 x - 2)

4 a u + 24 a v - 5 b u b - 30 b v

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

What is factor (m-n)^2+4(m-n)+4 ?
The solution to factor (m-n)^2+4(m-n)+4 is (m-n+2)^2