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

The solution to ((x^2+2x+1))/((x+1)) is x+1

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simplify ((x^2+2x+1))/((x+1))

simplify

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

x + 1

Solution steps

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

Factor

x^{2} + 2 x + 1 : (x + 1)^{2}

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

Apply exponent rule:

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

(x + 1)^{2} = (x + 1) (x + 1)

= \frac{( x + 1 ) ( x + 1 )}{x + 1}

Cancel the common factor:

x + 1

= x + 1

sin (x) + sin^{3} (x)

16 x^{4} + 4 x^{2} y^{2} + y^{4}

\frac{85 \cdot x ^{4}}{( x ^{3} ) ^{4}}

\frac{( 20 x ^{10} )}{( 5 x ^{8} )}

(5 x^{2} - 3 x)^{4}