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Jacob Glass
Mathematics
14 May, 18:14
Factorise (x^2+xy) ^2 - (xy+y^2) ^2
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Ayana Lambert
14 May, 18:31
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We are given with
(x² + xy) ² - (xy + y²) ²
which is a difference of two square with factors of:
[ (x² + xy) + (xy + y²) ][ (x² + xy) - (xy + y²) ]
Simplifying:
(x² + xy + xy + y²) (x² + xy - xy - y²)
(x² + 2xy + y²) (x² - y²)
Which can be further factored into:
(x + y) ² (x + y) (x - y)
or in simplest form:
(x + y) ³ (x - y)
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