Question

Add the following

a) 3a²+4ab-b², 7b²- 4ab+ 2a², a² +b²

b) 5xy-7x²-3y² + 4x²y, 5x²y - xy +x²+y²

c) 5a² - 2b³ +3a³b+7ab², 3a²b-5ab², a³+b³-a²b
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Answer 1

Step-by-step explanation:

a) 3a² + 4ab - b² + 7b²- 4ab + 2a² + a² + b²

= 3a² + 2a² + a² - b² + 7b² + b² + 4ab - 4ab

= 6a² + 7b²

b) 5xy - 7x² - 3y² + 4x²y + 5x²y - xy + x² + y²

= -7x² + x² + 4x²y + 5x²y - 3y² + y² + 5xy - xy

= -6x² + 9x²y - 2y² + 4xy

c) 5a² - 2b³ + 3a³b + 7ab² + 3a²b - 5ab² + a³ + b³

- a²b

= a³ + 3a³b - 2b³ + b³ + 5a² + 3a²b - a²b + 7ab²

- 5ab²

= a³ + 3a³b - b³ + 5a² + 2a²b + 2ab²

Answer 2

Answer:

Step-by-step explanation:

6) 3a ^ 2 + 4ab - b ^ 2 + 7b ^ 2 - 4ab + 2a ^ 2 + a ^ 2 + b ^ 2 = 3a ^ 2 + 2a ^ 2 + a ^ 2 - b ^ 2 + 7b ^ 2 + b ^ 2 + 4ab - 4ab

= 6a ^ 2 + 7b ^ 2

b) 5xy - 7x ^ 2 - 3y ^ 2 + 4x ^ 2 * y + 5x ^ 2 * y - xy + x ^ 2 + y ^ 2 = - 7x ^ 2 + x ^ 2 + 4x ^ 2 * y + 5x ^ 2 * y - 3y ^ 2 + y ^ 2 + 5xy - xy = - 6x ^ 2 + 9x ^ 2 * y - 2y ^ 2 + 4xy

c) 5a ^ 2 - 2b ^ 3 + 3a ^ 3 * b + 7a * b ^ 2 + 3a ^ 2 * b - 5a * b ^ 2 + a ^ 3

b ^ 2

- a ^ 2 * b

= a ^ 3 + 3a ^ 3 * b - 2b ^ 3 + b ^ 3 + 5a ^ 2 + 3a ^ 2 * b - a ^ 2 * b +

7a * b ^ 2

- 5a * b ^ 2

= a ^ 3 + 3a ^ 3 * b - b ^ 3 + 5a ^ 2 + 2a ^ 2 * b + 2a * b ^ 2