Solve 2x3y + 7x3y – xy3

Mathematics

2 answers:

g100num [7]4 years ago

8 0

9x3y-xyx3

Answer: 3y x (9-x)

Varvara68 [4.7K]4 years ago

3 0

23,850,706 solved | 221 online

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 2x3y+7x3y-xy3 Final result : xy • (3x + y) • (3x - y) Reformatting the input :

Changes made to your input should not affect the solution:

(1): "y3" was replaced by "y^3". 2 more similar replacement(s).

Step by step solution :Skip Ad
 Step 1 :Equation at the end of step 1 : (((2•(x3))•y)+(7x3•y))-xy3 Step 2 :Equation at the end of step 2 : ((2x3 • y) + 7x3y) - xy3 Step 3 : Step 4 :Pulling out like terms : 4.1 Pull out like factors :

 9x3y - xy3 = xy • (9x2 - y2)

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Which simplifications of the powers of i are correct? There may be more than one correct answer.

fredd [130]

$\bf i^2=-1\qquad\qquad i^3=-i\qquad \qquad i^4=1 \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ i^{22}\implies i^{(4\cdot 5)+2}\implies i^{4\cdot 5}i^2\implies (i^4)^5 i^2\implies 1^5(-1)\implies -1~\dotfill \bigotimes \\\\\\ i^{11}\implies i^{(2\cdot 5)+1}\implies (i^2)^5 i\implies (-1)^5(i)\implies -i~\dotfill \checkmark$

$\bf i^{21}\implies i^{(4\cdot 5)+1}\implies (i^4)^5 i\implies 1^5(i)\implies i~\dotfill \checkmark \\\\\\ i^{12}\implies i^{3\cdot 4}\implies i^3 i^4\implies (-i)(1)\implies -i\dotfill \bigotimes \\\\\\ i^{20}\implies i^{4\cdot 5}\implies (i^4)^5\implies 1~\dotfill \checkmark \\\\\\ i^{26}\implies i^{(4\cdot 6)+2}\implies (i^4)^6 i^2\implies 1^6(-1)\implies -1\dotfill \checkmark \\\\\\ i^{27}\implies i^{(4\cdot 6)+3}\implies (i^4)^6 i^3 \implies 1^6(-i)\implies -i\dotfill \bigotimes$