What is expand (1-3/4 x)^4 ?

The solution to expand (1-3/4 x)^4 is 1-3x+(27x^2)/8-(27x^3)/(16)+(81x^4)/(256)

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expand (1-3/4 x)^4

expand

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

1 - 3 x + \frac{27 x ^{2}}{8} - \frac{27 x ^{3}}{16} + \frac{81 x ^{4}}{256}

Solution steps

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

Apply binomial theorem:

(a + b)^{n} = i = 0 \sum n (i n) a^{(n - i)} b^{i}

a = 1, b = - \frac{3}{4} x

= i = 0 \sum 4 (i 4) \cdot 1^{(4 - i)} (- \frac{3}{4} x)^{i}

Expand summation

= \frac{4 !}{0 ! ( 4 - 0 ) !} \cdot 1^{4} (- \frac{3}{4} x)^{0} + \frac{4 !}{1 ! ( 4 - 1 ) !} \cdot 1^{3} (- \frac{3}{4} x)^{1} + \frac{4 !}{2 ! ( 4 - 2 ) !} \cdot 1^{2} (- \frac{3}{4} x)^{2} + \frac{4 !}{3 ! ( 4 - 3 ) !} \cdot 1^{1} (- \frac{3}{4} x)^{3} + \frac{4 !}{4 ! ( 4 - 4 ) !} \cdot 1^{0} (- \frac{3}{4} x)^{4}

Simplify

\frac{4 !}{0 ! ( 4 - 0 ) !} \cdot 1^{4} (- \frac{3}{4} x)^{0} : 1

Simplify

\frac{4 !}{1 ! ( 4 - 1 ) !} \cdot 1^{3} (- \frac{3}{4} x)^{1} : - 3 x

Simplify

\frac{4 !}{2 ! ( 4 - 2 ) !} \cdot 1^{2} (- \frac{3}{4} x)^{2} : \frac{27 x ^{2}}{8}

Simplify

\frac{4 !}{3 ! ( 4 - 3 ) !} \cdot 1^{1} (- \frac{3}{4} x)^{3} : - \frac{27 x ^{3}}{16}

Simplify

\frac{4 !}{4 ! ( 4 - 4 ) !} \cdot 1^{0} (- \frac{3}{4} x)^{4} : \frac{81 x ^{4}}{256}

= 1 - 3 x + \frac{27 x ^{2}}{8} - \frac{27 x ^{3}}{16} + \frac{81 x ^{4}}{256}

10 (11 + 3)

(3 + 3 i)^{4}

\frac{\partial}{\partial x} ((z) (x z + x yz - 5))

\frac{x ^{3}}{( x - 2 ) ^{2}}

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

What is expand (1-3/4 x)^4 ?
The solution to expand (1-3/4 x)^4 is 1-3x+(27x^2)/8-(27x^3)/(16)+(81x^4)/(256)