What is ((x+3)^{36}-x^{36})/(2x+3) ?

The solution to ((x+3)^{36}-x^{36})/(2x+3) is

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simplify ((x+3)^{36}-x^{36})/(2x+3)

simplify

\frac{( x + 3 ) ^{36} - x ^{36}}{2 x + 3}

27 (2 x^{18} + 54 x^{17} + 1377 x^{16} + 22032 x^{15} + 247860 x^{14} + 2082024 x^{13} + 13533156 x^{12} + 69599088 x^{11} + 287096238 x^{10} + 956987460 x^{9} + 2583866142 x^{8} + 5637526128 x^{7} + 9865670724 x^{6} + 13660159464 x^{5} + 14635885140 x^{4} + 11708708112 x^{3} + 6586148313 x^{2} + 2324522934 x + 387420489) (x^{8} + 12 x^{7} + 144 x^{6} + 918 x^{5} + 3726 x^{4} + 9720 x^{3} + 16038 x^{2} + 15309 x + 6561) (x^{8} + 12 x^{7} + 84 x^{6} + 378 x^{5} + 1134 x^{4} + 2268 x^{3} + 2916 x^{2} + 2187 x + 729)

Solution steps

\frac{( x + 3 ) ^{36} - x ^{36}}{2 x + 3}

Factor

(x + 3)^{36} - x^{36} : (2 x^{18} + 54 x^{17} + 1377 x^{16} + 22032 x^{15} + 247860 x^{14} + 2082024 x^{13} + 13533156 x^{12} + 69599088 x^{11} + 287096238 x^{10} + 956987460 x^{9} + 2583866142 x^{8} + 5637526128 x^{7} + 9865670724 x^{6} + 13660159464 x^{5} + 14635885140 x^{4} + 11708708112 x^{3} + 6586148313 x^{2} + 2324522934 x + 387420489) \cdot 27 (2 x + 3) (x^{8} + 12 x^{7} + 144 x^{6} + 918 x^{5} + 3726 x^{4} + 9720 x^{3} + 16038 x^{2} + 15309 x + 6561) (x^{8} + 12 x^{7} + 84 x^{6} + 378 x^{5} + 1134 x^{4} + 2268 x^{3} + 2916 x^{2} + 2187 x + 729)

= \frac{( 2 x ^{18} + 54 x ^{17} + 1377 x ^{16} + 22032 x ^{15} + 247860 x ^{14} + 2082024 x ^{13} + 13533156 x ^{12} + 69599088 x ^{11} + 287096238 x ^{10} + 956987460 x ^{9} + 2583866142 x ^{8} + 5637526128 x ^{7} + 9865670724 x ^{6} + 13660159464 x ^{5} + 14635885140 x ^{4} + 11708708112 x ^{3} + 6586148313 x ^{2} + 2324522934 x + 387420489 ) \cdot 27 ( 2 x + 3 ) ( x ^{8} + 12 x ^{7} + 144 x ^{6} + 918 x ^{5} + 3726 x ^{4} + 9720 x ^{3} + 16038 x ^{2} + 15309 x + 6561 ) ( x ^{8} + 12 x ^{7} + 84 x ^{6} + 378 x ^{5} + 1134 x ^{4} + 2268 x ^{3} + 2916 x ^{2} + 2187 x + 729 )}{2 x + 3}

Cancel the common factor:

2 x + 3

= (2 x^{18} + 54 x^{17} + 1377 x^{16} + 22032 x^{15} + 247860 x^{14} + 2082024 x^{13} + 13533156 x^{12} + 69599088 x^{11} + 287096238 x^{10} + 956987460 x^{9} + 2583866142 x^{8} + 5637526128 x^{7} + 9865670724 x^{6} + 13660159464 x^{5} + 14635885140 x^{4} + 11708708112 x^{3} + 6586148313 x^{2} + 2324522934 x + 387420489) \cdot 27 (x^{8} + 12 x^{7} + 144 x^{6} + 918 x^{5} + 3726 x^{4} + 9720 x^{3} + 16038 x^{2} + 15309 x + 6561) (x^{8} + 12 x^{7} + 84 x^{6} + 378 x^{5} + 1134 x^{4} + 2268 x^{3} + 2916 x^{2} + 2187 x + 729)

= 27 (2 x^{18} + 54 x^{17} + 1377 x^{16} + 22032 x^{15} + 247860 x^{14} + 2082024 x^{13} + 13533156 x^{12} + 69599088 x^{11} + 287096238 x^{10} + 956987460 x^{9} + 2583866142 x^{8} + 5637526128 x^{7} + 9865670724 x^{6} + 13660159464 x^{5} + 14635885140 x^{4} + 11708708112 x^{3} + 6586148313 x^{2} + 2324522934 x + 387420489) (x^{8} + 12 x^{7} + 144 x^{6} + 918 x^{5} + 3726 x^{4} + 9720 x^{3} + 16038 x^{2} + 15309 x + 6561) (x^{8} + 12 x^{7} + 84 x^{6} + 378 x^{5} + 1134 x^{4} + 2268 x^{3} + 2916 x^{2} + 2187 x + 729)

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

6 x^{- 5} w^{0}

lo g_{4} (x + 3) + lo g_{4} (x - 3) - 2

(h) 1 6^{\frac{- 1}{2}}

(5 x^{4} \cdot y^{- 3})^{- 2}

What is ((x+3)^{36}-x^{36})/(2x+3) ?
The solution to ((x+3)^{36}-x^{36})/(2x+3) is