Question

Type the correct answer in the box use numerals instead of words

Answer 1

Subtracting
`3x^2+4x-5` from
`7x^2+x+9` results in a polynomial. After subtracting
`4x^2-3x` from this polynomial the difference is 14

Explanation:

The question given is:

Subtracting
`3x^2+4x-5` from
`7x^2+x+9` results in a polynomial. After subtracting
`4x^2-3x` from this polynomial the difference is?

First we will Subtracting
`3x^2+4x-5` from
`7x^2+x+9`

`7x^2+x+9-(3x^2+4x-5)\\=7x^2+x+9-3x^2-4x+5\\Combining\:like\:terms\\=7x^2-3x^2+x-4x+9+5\\=4x^2-3x+14`

So, the polynomial we get is:
`4x^2-3x+14`

Now, subtracting
`4x^2-3x\: from\: 4x^2-3x+14`

`4x^2-3x+14-(4x^2-3x) \\=4x^2-3x+14-4x^2+3x\\Combining\:like\:terms\\=4x^2-4x^2-3x+3x+14\\=14`

The difference is 14

So, Subtracting
`3x^2+4x-5` from
`7x^2+x+9` results in a polynomial. After subtracting
`4x^2-3x` from this polynomial the difference is 14