Factor the expression [tex]3x^3 + 2x^2y + 3xy^2 + 2y^3[/tex].

3 x 3 + 2 x 2 y + 3 x y 2 + 2 y 3 = = x 2 ( 3 x + 2 y ) + y 2 ( 3 x + 2 y ) = = ( 3 x + 2 y ) ( x 2 + y 2 )

Answered by Lilith | 2024-06-10

The expression 3 x 3 + 2 x 2 y + 3 x y 2 + 2 y 3 can be factored into ( 3 x + 2 y ) ( x 2 + y 2 ) . This is achieved by grouping terms and identifying common factors. The resulting factorization helps simplify the polynomial and understand its structure better.
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Answered by Lilith | 2024-12-23