Question

Subtract the sum of 5x³ – 6y² + 8y – 5 and 6y²-- 8y+12 from 7x³– 5xy + 10y²+ 5x – 4y.​

Answer 1

Answer:

Question:

Subtract the sum of 5x³ - 6y² + 8y - 5 and 6y² - 8y + 12 from 7x³ - 5xy + 10y² + 5x - 4y.​

What to find?

First find the sum of 5x³ - 6y² + 8y - 5 and 6y² - 8y + 12 and then subtract it from 7x³ - 5xy + 10y² + 5x - 4y.​

Solution:

First find the sum of 5x³ - 6y² + 8y - 5 and 6y² - 8y + 12.

(5x³ - 6y² + 8y - 5) + (6y² - 8y + 12)

After removing the brackets,

5x³ - 6y² + 8y - 5 + 6y² - 8y + 12

After rearranging the like terms,

5x³ - 6y² + 6y² + 8y - 8y - 5 + 12

After solving the like terms,

5x³ + 7

Now subtract 5x³ + 7 from 7x³ - 5xy + 10y² + 5x - 4y.

(7x³ - 5xy + 10y² + 5x - 4y) - (5x³ + 7)

After removing the brackets,

7x³ - 5xy + 10y² + 5x - 4y - 5x³ - 7

After rearranging the like terms,

7x³ - 5x³ + 10y² - 5xy  + 5x - 4y - 7

After solving the like terms,

2x³ + 10y² - 5xy  + 5x - 4y - 7

∴ Therefore, the answer is 2x³ + 10y² - 5xy  + 5x - 4y - 7.