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

The solution to expand (x+2)^4(1+1/(x^2)) is x^4+8x^3+24x^2+32x+16+((x+2)^4)/(x^2)

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

expand

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

x^{4} + 8 x^{3} + 24 x^{2} + 32 x + 16 + \frac{( x + 2 ) ^{4}}{x ^{2}}

Solution steps

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

Apply the distributive law:

a (b + c) = ab + a c

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

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

Simplify

(x + 2)^{4} \cdot 1 + (x + 2)^{4} \frac{1}{x ^{2}} : x^{4} + 8 x^{3} + 24 x^{2} + 32 x + 16 + \frac{( x + 2 ) ^{4}}{x ^{2}}

= x^{4} + 8 x^{3} + 24 x^{2} + 32 x + 16 + \frac{( x + 2 ) ^{4}}{x ^{2}}

\frac{4}{7} + \frac{5}{14}

\frac{( 4 x ^{3} + 7 ) ^{5}}{( 12 x + 9 ) ^{2}}

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

A (- 5, 6) B (3, - 2)

\frac{2 ( x ^{3} + 2 x ^{2} + 3706 x + 8250 )}{5 x + 11}

What is expand (x+2)^4(1+1/(x^2)) ?
The solution to expand (x+2)^4(1+1/(x^2)) is x^4+8x^3+24x^2+32x+16+((x+2)^4)/(x^2)