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

The solution to (x+4+4/x)x^2 is (x^2+4x+4)x

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simplify (x+4+4/x)x^2

simplify

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

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

Solution steps

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

Join

x + 4 + \frac{4}{x} : \frac{x ^{2} + 4 x + 4}{x}

= \frac{x ^{2} + 4 x + 4}{x} x^{2}

Apply the fraction rule:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

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

Apply exponent rule:

a^{b + c} = a^{b} \cdot a^{c}

x^{2} = xx

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

Cancel the common factor:

x

= (x^{2} + 4 x + 4) x

(- y + 3)^{2}

(cos (2) (x - 1)) - 1

(1 + tan (x) + sec (x)) (1 + cot (x) - csc (x))

(h) (2 x + 2 h + 6 + 2 x + 3)