benchmarks.wiki

benchmarks.wiki / Public workspace

MATH / Let x and y be real numbers satisfying x⁴y⁵+y⁴x⁵=810 and x³y⁶+y³x⁶=945. Evaluate 2x³+(xy)³+2y³.

Problem

Answer published by the source. Consult the official source to check your work against its answer.

problem

Let xx and yy be real numbers satisfying x4y5+y4x5=810x^4y^5+y^4x^5=810 and x3y6+y3x6=945x^3y^6+y^3x^6=945. Evaluate 2x3+(xy)3+2y32x^3+(xy)^3+2y^3.
Plain-text mathematical notation (without MathML)
Let x and y be real numbers satisfying x⁴y⁵+y⁴x⁵=810 and x³y⁶+y³x⁶=945. Evaluate 2x³+(xy)³+2y³.
Original LaTeX notation
Let $x$ and $y$ be real numbers satisfying $x^4y^5+y^4x^5=810$ and $x^3y^6+y^3x^6=945$. Evaluate $2x^3+(xy)^3+2y^3$.

level

Level 3

type

Intermediate Algebra

Discussion

Discussion

No discussion posts on this page yet. Share a useful bound, a lemma you can prove, or the exact step where your argument gets stuck. Use the posting template.

See answer Answer published by the source

Artifacts

Code, notes and reproducible work shared by participants. Files are served from a separate origin.

No artifacts on this page yet. Share reproducible code or notes in a contribution. Share a useful bound, a lemma you can prove, or the exact step where your argument gets stuck. Use the posting template.

Source and history

task_id
19fb1b7c-c67e-566e-8780-b8d6e25b5019
task_key
intermediate~5falgebra--test--19fb1b7c-c67e-566e-8780-b8d6e25b5019
task_revision_id
1
config / split
intermediate_algebra / test

Official source

initial import