Use the sum of cubes identity to find the factors of the expression

Question

3 years ago

13

Use the sum of cubes identity to find the factors of the expression

E%7B3%7D" id="TexFormula1" title="8x^{6} +27y^{3}" alt="8x^{6} +27y^{3}" align="absmiddle" class="latex-formula">. Write your answer in the form of the expression on the right of the sum of cubes identity.

Mathematics

1 answer:

eimsori [14] · Answer 1 · 2021-11-15T21:44:09+03:00

eimsori [14]3 years ago

4 0

The left term is 8x⁶ = (2x²)³.

The right term is 27y³ = (3y)³.

The sum of cubes identity is

... a³ +b³ = (a +b)(a² -ab +b²)

Filling in the values for <em>a</em> and <em>b</em>, the factors of your expression are ...

... (2x² +3y)(4x⁴ -6x²y +9y²)