look below?
2016-03-20 11:45 pm
The volume of the rectangular prism is 4x^3-y^3-xy^2+4x^2y in cubic inches. Find the dimensions of the prism if they can be represented by the binomials with integral coefficients.
回答 (3)
2016-03-21 12:01 am
56
2016-03-20 11:59 pm
rearrange like this for easier factoring...
4x^3+4x^2y-y^3-xy^2 then
4x^2(x+y)-y^2(x+y) so
(4x^2-y^2)(x+y)
(2x+y)(2x-y)(x+y)
So the dimensions of the prism are:
(2x+y), (2x-y), and (x+y)
4x^3+4x^2y-y^3-xy^2 then
4x^2(x+y)-y^2(x+y) so
(4x^2-y^2)(x+y)
(2x+y)(2x-y)(x+y)
So the dimensions of the prism are:
(2x+y), (2x-y), and (x+y)
2016-03-20 11:53 pm
4x³ − y³ − xy² + 4x²y
= 4x³ + 4x²y − y³ − xy²
= 4x² (x + y) − y² (y + x)
= (x + y) (4x² − y²)
= (x + y) (2x − y) (2x + y)
收錄日期: 2021-05-01 16:43:58
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https://hk.answers.yahoo.com/question/index?qid=20160320154549AAz07Xr