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Popular >

expand ((m-n)-1)^2

Solution

expand

((m - n) - 1)^{2}

Solution

m^{2} - 2 mn - 2 m + n^{2} + 2 n + 1

Solution steps

((m - n) - 1)^{2}

Simplify

(m - n) - 1 : m - n - 1

= (m - n - 1)^{2}

Apply exponent rule:

a^{b + c} = a^{b} \cdot a^{c}

(m - n - 1)^{2} = (m - n - 1) (m - n - 1)

= (m - n - 1) (m - n - 1)

Distribute parentheses

= mm + m (- n) + m (- 1) - nm - n (- n) - n (- 1) - 1 \cdot m - 1 \cdot (- n) - 1 \cdot (- 1)

Simplify

mm + m (- n) + m (- 1) - nm - n (- n) - n (- 1) - 1 \cdot m - 1 \cdot (- n) - 1 \cdot (- 1) : m^{2} - 2 mn - 2 m + n^{2} + 2 n + 1

= m^{2} - 2 mn - 2 m + n^{2} + 2 n + 1

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Frequently Asked Questions (FAQ)

What is expand ((m-n)-1)^2 ?
The solution to expand ((m-n)-1)^2 is m^2-2mn-2m+n^2+2n+1