simplify (1+x/2)^6

Solution

simplify

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

\frac{( 2 + x ) ^{6}}{64}

Solution steps

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

Join

1 + \frac{x}{2} : \frac{2 + x}{2}

= (\frac{2 + x}{2})^{6}

Apply exponent rule:

(\frac{a}{b})^{c} = \frac{a ^{c}}{b ^{c}}

= \frac{( 2 + x ) ^{6}}{2 ^{6}}

2^{6} = 64

= \frac{( 2 + x ) ^{6}}{64}

(x^{2} + 6 x - 5) + (2 x^{2} + 15)

35 \cdot 25

4 (x + 5)

x^{4} - 4 y^{4}

(4 x^{5} + x^{4} - 6 x^{2} + 12) - (7 x^{4} - 5 x^{2} - 4 x + 5)