What is ((y+1)^5)/((y+1)^2) ?

The solution to ((y+1)^5)/((y+1)^2) is (y+1)^3

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simplify ((y+1)^5)/((y+1)^2)

simplify

\frac{( y + 1 ) ^{5}}{( y + 1 ) ^{2}}

(y + 1)^{3}

Solution steps

\frac{( y + 1 ) ^{5}}{( y + 1 ) ^{2}}

Apply exponent rule:

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

(y + 1)^{5} = (y + 1)^{2} (y + 1)^{3}

= \frac{( y + 1 ) ^{2} ( y + 1 ) ^{3}}{( y + 1 ) ^{2}}

Cancel the common factor:

(y + 1)^{2}

= (y + 1)^{3}

125

\frac{b}{2} - 1 < 1

\frac{3}{4} + \frac{1}{8} - \frac{1}{2}

16 y^{2} + 56 y + 49

\frac{\frac{2 x}{y} + 1}{\frac{2 y}{x} - 1}