Question

subtracting 2x^2+4x-5 from 7x^2+x+9 results in a polynomial. after substracting 4x^2 - 3x from this polynomial, the difference is ________?​

Answer 1

Answer:

The difference is 14.

Step-by-step explanation:

We are to subtract 3x² + 4x - 5 from 7x² + x + 9.

⇒ 7x² + x + 9 - (3x² + 4x - 5)

= 7x² + x + 9 - 3x² - 4x + 5

= (7 - 3)x² + (1 - 4)x + 9 + 5

= 4x² - 3x + 14

Now we subract 4x² - 3x from the above polynomial.

⇒ 4x² - 3x + 14 - (4x² - 3x)

= 4x² - 3x + 14 - 4x² + 3x

= (4 - 4)x² + (3 - 3)x + 14

= 14 which is the required difference.