What is expand (m(m+1))/2+(m+1) ?

The solution to expand (m(m+1))/2+(m+1) is (m^2)/2+m/2+m+1

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expand (m(m+1))/2+(m+1)

expand

\frac{m ( m + 1 )}{2} + (m + 1)

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

Solution steps

\frac{m ( m + 1 )}{2} + (m + 1)

Remove parentheses:

(a) = a

= \frac{m ( m + 1 )}{2} + m + 1

Expand

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

= \frac{m ^{2} + m}{2} + m + 1

Apply the fraction rule:

\frac{a \pm b}{c} = \frac{a}{c} \pm \frac{b}{c}

\frac{m ^{2} + m}{2} = \frac{m ^{2}}{2} + \frac{m}{2}

= \frac{m ^{2}}{2} + \frac{m}{2} + m + 1

\frac{4}{( x + 1 ) ^{3}}

1001 \times 34

f (x) (- 5 cos (x) + 12 sin (x))

x (x - 2) (x - 2 - i) (x + 3 + i)

\frac{1}{s ( s + 2 ) ( s + 10 )}

What is expand (m(m+1))/2+(m+1) ?
The solution to expand (m(m+1))/2+(m+1) is (m^2)/2+m/2+m+1