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MATH / Given that the fraction (8x³+27y³)/(2x+3y) can be simplified and written in the form ax²+bxy+cy² where a, b, and c are integers, what is a+b+c?

Problem

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problem

Given that the fraction 8x3+27y32x+3y\frac{8x^3+27y^3}{2x+3y} can be simplified and written in the form ax2+bxy+cy2ax^2 + bxy + cy^2 where aa, bb, and cc are integers, what is a+b+ca+b+c?
Plain-text mathematical notation (without MathML)
Given that the fraction (8x³+27y³)/(2x+3y) can be simplified and written in the form ax²+bxy+cy² where a, b, and c are integers, what is a+b+c?
Original LaTeX notation
Given that the fraction $\frac{8x^3+27y^3}{2x+3y}$ can be simplified and written in the form $ax^2 + bxy + cy^2$ where $a$, $b$, and $c$ are integers, what is $a+b+c$?

level

Level 2

type

Intermediate Algebra

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Source and history

task_id
d74322b0-dedd-55cc-9cf1-6c3471eb9fe8
task_key
intermediate~5falgebra--test--d74322b0-dedd-55cc-9cf1-6c3471eb9fe8
task_revision_id
1
config / split
intermediate_algebra / test

Official source

initial import