What is expand (5+x)^4(1+1/(x^2)) ?

The solution to expand (5+x)^4(1+1/(x^2)) is 625+500x+150x^2+20x^3+x^4+((5+x)^4)/(x^2)

Popular >

expand (5+x)^4(1+1/(x^2))

expand

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

625 + 500 x + 150 x^{2} + 20 x^{3} + x^{4} + \frac{( 5 + x ) ^{4}}{x ^{2}}

Solution steps

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

Apply the distributive law:

a (b + c) = ab + a c

(5 + x)^{4} (1 + \frac{1}{x ^{2}}) = (5 + x)^{4} \cdot 1 + (5 + x)^{4} \frac{1}{x ^{2}}

= (5 + x)^{4} \cdot 1 + (5 + x)^{4} \frac{1}{x ^{2}}

Simplify

(5 + x)^{4} \cdot 1 + (5 + x)^{4} \frac{1}{x ^{2}} : 625 + 500 x + 150 x^{2} + 20 x^{3} + x^{4} + \frac{( 5 + x ) ^{4}}{x ^{2}}

= 625 + 500 x + 150 x^{2} + 20 x^{3} + x^{4} + \frac{( 5 + x ) ^{4}}{x ^{2}}

(x - 1) \times e^{x}

\frac{x ^{2} - 10 x + 13}{( x - 1 ) ( x ^{2} - 5 x + 6 )}

(ma ss) \cdot 1.009 \cdot (sec (o) n d, -, t e m p)

2 (\frac{7}{e ^{4}} + \frac{7}{e ^{16}} + \frac{7}{e ^{36}})

\frac{x ^{5} - 2 x ^{3} + x ^{2} + 2}{( x + 1 ) ( x ^{2} - 4 x + 2 )}

What is expand (5+x)^4(1+1/(x^2)) ?
The solution to expand (5+x)^4(1+1/(x^2)) is 625+500x+150x^2+20x^3+x^4+((5+x)^4)/(x^2)