1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

# Add the following expressions: (i) ${x}^{3}-2{x}^{2}y+3x{y}^{2}-{y}^{3},2{x}^{3}-5x{y}^{2}+3{x}^{2}y-4{y}^{3}$ (ii) ${a}^{4}-2{a}^{3}b+3a{b}^{3}+4{a}^{2}{b}^{2}+3{b}^{4},-2{a}^{4}-5a{b}^{3}+7{a}^{3}b-6{a}^{2}{b}^{2}+{b}^{4}$

Open in App
Solution

## 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

Suggest Corrections
1
Join BYJU'S Learning Program
Related Videos
Addition and Subtraction of Algebraic Expressions
MATHEMATICS
Watch in App
Join BYJU'S Learning Program