What is ((k(k+1))/2)^2+(k+1)^3 ?

The solution to ((k(k+1))/2)^2+(k+1)^3 is (k^2(k+1)^2)/4+k^3+3k^2+3k+1

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify ((k(k+1))/2)^2+(k+1)^3

simplify

(\frac{k ( k + 1 )}{2})^{2} + (k + 1)^{3}

\frac{k ^{2} ( k + 1 ) ^{2}}{4} + k^{3} + 3 k^{2} + 3 k + 1

Solution steps

(\frac{k ( k + 1 )}{2})^{2} + (k + 1)^{3}

Simplify

(\frac{k ( k + 1 )}{2})^{2} : \frac{k ^{2} ( k + 1 ) ^{2}}{4}

= \frac{k ^{2} ( k + 1 ) ^{2}}{4} + (k + 1)^{3}

Expand

(k + 1)^{3} : k^{3} + 3 k^{2} + 3 k + 1

= \frac{k ^{2} ( k + 1 ) ^{2}}{4} + k^{3} + 3 k^{2} + 3 k + 1

\frac{6 x ^{2}}{24 x ^{2} - 192 x}

f (\frac{1}{2})

ln (e^{11})

(b - 9) (b + 3)

(2)^{2} + (3)^{2}

What is ((k(k+1))/2)^2+(k+1)^3 ?
The solution to ((k(k+1))/2)^2+(k+1)^3 is (k^2(k+1)^2)/4+k^3+3k^2+3k+1