What is ((11^{p+2}-11^p))/((11^{p+1)+11^p)} ?

The solution to ((11^{p+2}-11^p))/((11^{p+1)+11^p)} is 10

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simplify ((11^{p+2}-11^p))/((11^{p+1)+11^p)}

simplify

\frac{( 1 1 ^{p + 2} - 1 1 ^{p} )}{( 1 1 ^{p + 1} + 1 1 ^{p} )}

10

Solution steps

\frac{1 1 ^{p + 2} - 1 1 ^{p}}{1 1 ^{p + 1} + 1 1 ^{p}}

Factor

1 1^{p + 2} - 1 1^{p} : 120 \cdot 1 1^{p}

= \frac{120 \cdot 1 1 ^{p}}{1 1 ^{p + 1} + 1 1 ^{p}}

Factor

1 1^{p + 1} + 1 1^{p} : 12 \cdot 1 1^{p}

= \frac{120 \cdot 1 1 ^{p}}{12 \cdot 1 1 ^{p}}

Cancel

\frac{120 \cdot 1 1 ^{p}}{12 \cdot 1 1 ^{p}} : 10

= 10

(a^{2} \cdot b - a \cdot b^{2})^{3}

(m + 3 n) 2

\frac{( x ^{- 1} + y ^{- 1} )}{( x + y )}

\frac{( x ^{4} )}{( x ^{- 8} )}

(2 x - y) \cdot 0.3 z - 2 y (2 x - 3 y)

What is ((11^{p+2}-11^p))/((11^{p+1)+11^p)} ?
The solution to ((11^{p+2}-11^p))/((11^{p+1)+11^p)} is 10