Question

Subtract-3c2 + 12cd – 4d2 from 4c2 + 3cd + 2d?.

Your answer should be a polynomial in standard form.

Answer 1

Subtract
`-3c^2 + 12cd - 4d^2` from
`4c^2 + 3cd + 2d^2` we get
`\mathbf{7c^2-9cd+6d^2}`

Explanation:

We need to Subtract
`-3c^2 + 12cd - 4d^2` from
`4c^2 + 3cd + 2d^2`

(Note: Considering 2d^2 instead of 2d as thinking it typo error)

Subtracting from means we have to subtract
`4c^2 + 3cd + 2d^2 -(-3c^2 + 12cd - 4d^2)`

Subtracting:

`4c^2 + 3cd + 2d^2 -(-3c^2 + 12cd - 4d^2)\\=4c^2 + 3cd + 2d^2 +3c^2 - 12cd + 4d^2`

Combining like terms (Like terms are those that have same variables like 4c^2 and 3c^2 are like terms, 3cd and -12cd are like terms, 2d^2 and 4d^2 are like terms)

`=4c^2+3c^2 + 3cd-12cd + 2d^2+4d^2 \\=7c^2-9cd+6d^2`

So, Subtract
`-3c^2 + 12cd - 4d^2` from
`4c^2 + 3cd + 2d^2` we get
`\mathbf{7c^2-9cd+6d^2}`