Question

b) $3x^{3}y - 16xy + 5xy^{3} + 2x^{3}y - 13xy + 4xy^{3} + 2xy + 11xy^{2} + x^{3}y$

Explanation:

Step1: Group like $x^2y$ terms

$3x^2y + 2x^2y + x^2y$

Step2: Group like $xy$ terms

$-16xy -13xy + 2xy$

Step3: Group like $xy^2$ terms

$5xy^2 + 4xy^2 + 11xy^2$

Step4: Combine $x^2y$ terms

$(3+2+1)x^2y = 6x^2y$

Step5: Combine $xy$ terms

$(-16-13+2)xy = -27xy$

Step6: Combine $xy^2$ terms

$(5+4+11)xy^2 = 20xy^2$

Step7: Combine all simplified terms

$6x^2y -27xy + 20xy^2$

Answer:

$6x^2y + 20xy^2 - 27xy$