What is expand (t^2)/((1+t)^6) ?

The solution to expand (t^2)/((1+t)^6) is (t^2)/(1+6t+15t^2+20t^3+15t^4+6t^5+t^6)

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expand (t^2)/((1+t)^6)

expand

\frac{t ^{2}}{( 1 + t ) ^{6}}

\frac{t ^{2}}{1 + 6 t + 15 t ^{2} + 20 t ^{3} + 15 t ^{4} + 6 t ^{5} + t ^{6}}

Solution steps

\frac{t ^{2}}{( 1 + t ) ^{6}}

(1 + t)^{6} = 1 + 6 t + 15 t^{2} + 20 t^{3} + 15 t^{4} + 6 t^{5} + t^{6}

= \frac{t ^{2}}{1 + 6 t + 15 t ^{2} + 20 t ^{3} + 15 t ^{4} + 6 t ^{5} + t ^{6}}

(x - y = 3,) - (x + 2 y = 6)

\frac{F ( a r + x )}{F r + x ( F + r )}

u d u + (v + uv - u e^{u}) d u

\frac{x ^{4}}{( x + 2 ) ^{2}}

π (- 2 ln (3) + \frac{16}{3})

What is expand (t^2)/((1+t)^6) ?
The solution to expand (t^2)/((1+t)^6) is (t^2)/(1+6t+15t^2+20t^3+15t^4+6t^5+t^6)