What is factor (m+2)^2-(m+1)^2 ?

The solution to factor (m+2)^2-(m+1)^2 is 2m+3

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factor (m+2)^2-(m+1)^2

factor

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

2 m + 3

Solution steps

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

Apply Difference of Two Squares Formula:

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

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

= ((m + 2) + (m + 1)) ((m + 2) - (m + 1))

Simplify

((m + 2) + (m + 1)) ((m + 2) - (m + 1)) : 2 m + 3

= 2 m + 3

f g + f

3 x - 4 = - 16

\frac{3 m ^{2} + 2 m - 1}{m ^{2} - 1}

(\frac{2 n}{6 n + 4}) (\frac{3 n + 2}{3 n - 2})

- 3 x^{2} - 5 x + 8 = 0