What should be subtracted from $5 x^{2} + 2 x - 5 to get 3 xy + 4 x - 5$ .

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5 x^{2} - 3 xy - 2 x

6 x^{2} - 2 xy - 2 x

5 x^{2} - 2 xy - 2 x

5 x^{2} + 3 xy - 2 x

answer is A.

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Detailed Solution

Concept-
Assume that

p (x) = 5 x^{2} + 2 x - 5

Moreover,

q (x) = 3 xy + 4 x - 5 .

Assume that the phrase or term being removed is "A."
Consequently,

p (x) - A = q (x)

Put the values in the following formula:

5 x 2 + 2 x - 5 - A = 3 xy + 4 x - 5 .

On one side of the equation, take all the terms. Consider "A" and the other terms in the equation's right-hand column, which are located to the equation's left. Keep in mind that as you transfer a term from one side to another, the term's sign likewise adjusts. Negative terms turn into positive terms, and vice versa.

\Rightarrow 5 x^{2} + 2 x - 5 - 3 xy - 4 x + 5 = A

You can reformat it as -

A = 5 x^{2} + 2 x - 5 - 3 xy - 4 x + 5

In the equation above, create the pair of like terms:

A = 5 x^{2} - 3 xy - 4 x + 2 x - 5 + 5

Equally valuable like phrases that have opposing signs cancel each other out. Furthermore, when you combine one good phrase with oneYou must subtract from and sign the greater digit in a negative expression. Make the equation above simpler.