X³ y + 3x² y ×[ (2 x + 7 y)] - 5x² y²

1.	X³ y + 3x² y ×[ (2 x + 7 y)] - 5x² y²
Answer» Answer: ADDING the given expressions, we have (i) x3- 2x2y + 3xy2- y3+ 2x3- 5xy2 + 3x2y- 4y3 Collecting positive and NEGATIVE like terms together, we get x3+ 2x3- 2x2y + 3x2y + 3xy2- 5xy2 - y3 - 4y3 = 3x3 + x2y - 2xy2 - 5Y3 (ii) (A4- 2a3b + 3ab3 + 4A2B2 + 3b4) + (-2a4- 5ab3 + 7a3b - 6a2b2 + b4) a4- 2a3b + 3ab3 + 4a2b2 + 3b4 - 2a4- 5ab3 + 7a3b - 6a2b2 + b4 Collecting positive and negative like terms together, we get a4 - 2a4 - 2a3b + 7a3b + 3ab3 - 5ab3 + 4a2b2 - 6a2b2 + 3b4 + b4 = - a4 + 5a3b - 2ab3 - 2a2b2 + 4b4

Answer»

Answer:

ADDING the given expressions, we have

(i) x3- 2x2y + 3xy2- y3+ 2x3- 5xy2 + 3x2y- 4y3

Collecting positive and NEGATIVE like terms together, we get

x3+ 2x3- 2x2y + 3x2y + 3xy2- 5xy2 - y3 - 4y3

= 3x3 + x2y - 2xy2 - 5Y3

(ii) (A4- 2a3b + 3ab3 + 4A2B2 + 3b4) + (-2a4- 5ab3 + 7a3b - 6a2b2 + b4)

a4- 2a3b + 3ab3 + 4a2b2 + 3b4 - 2a4- 5ab3 + 7a3b - 6a2b2 + b4

Collecting positive and negative like terms together, we get

a4 - 2a4 - 2a3b + 7a3b + 3ab3 - 5ab3 + 4a2b2 - 6a2b2 + 3b4 + b4

= - a4 + 5a3b - 2ab3 - 2a2b2 + 4b4

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