Select the correct difference.


5d 2 + 4d - 3 less 2d 2 - 3d + 4


3d2 + 7d - 7

3d2 - 7d - 7

7d2 + 7d - 7

7d2 + d + 1

Verified Answer :

Answer: First option is correct.

Step-by-step explanation:

Since we have given that

\(5d^2+4d-3-(2d^2-3d+4)\)

We need to find the correct difference.

Collect the like terms together.

\(5d^2+4d-3-(2d^2-3d+4)\\\\=5d^2+4d-3-2d^2+3d-4\\\\=5d^2-2d^2+4d+3d-3-4\\\\=3d^2+7d-7\)

Hence, First option is correct.

Answer:

Option (a) is correct.

\(5d^2+4d-3-(2d^2-3d+4)=3d^2+7d-7\)

Step-by-step explanation:

Given: \(5d^2+4d-3-(2d^2-3d+4)\)

We have to solve the given expression and choose the correct difference from the given options.

Consider the given expression \(5d^2+4d-3-(2d^2-3d+4)\)

Apply plus- minus rule, \(-(-a)=a\)

We have,

\(=5d^2+4d-3-2d^2+3d-4\)

Adding like terms, we have,

LIKE TERMS are terms having same variable with same degree.

\(=(5-2)d^2+(4+3)d-(3+4)\)

Simplify, we have,

\(=3d^2+7d-7\)

Thus, Option (a) is correct.