Question

15. Factories (x+y)^3-(x^3+y^3)​

Answer 1

Answer:

3x^2y+3xy^2

Step-by-step explanation:

(since (x+y)^3=X3+y3+3x2y+3xy2)

so X3+y3+3x2y+3xy2-x3-y3

=3x2y+3xy2

Answer 2

Answer:

$3xy(x+y)$

Step-by-step explanation:

$(x+y)^{3} - (x^{3} +y^{3})\\Now,\:\: a^{3} + b^{3} = (a+b)(a^{2} -ab+b^{2}) \\So, (x+y)^{3} - (x^{3}+y^{3})\\=(x+y)^{3}-(x+y)(x^{2}-xy+y^{2})\\=(x+y)\{(x+y)^{2}-(x^{2}-xy+y^{2})\}\\=(x+y)\{x^{2} + 2xy+y^{2}-x^{2}+xy-y^{2}\}\\=(x+y)(3xy)\\=3xy(x+y)$

Hope this helps...